scientific article; zbMATH DE number 3053340
From MaRDI portal
Publication:5792555
zbMath0035.03601MaRDI QIDQ5792555
Publication date: 1948
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
convergencecontinued fractionsanalytic functionsStieltjes integralmoment problemsPadé tablesStieltjes continued fractionsGaussian continued fractionJ-continued fractionsparabolic theoremspositive definite continued fractions
Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01)
Related Items
On the order of starlikeness of hypergeometric functions, Exact and approximate generalized diffusion equation for the Lorentz gas, Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates, The Graham-Knuth-Patashnik recurrence: symmetries and continued fractions, Darboux transformations for CMV matrices, Wall rational functions and Khrushchev's formula for orthogonal rational functions, Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas, The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences, Hankel continued fraction and its applications, Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle, An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture, Non-self-adjoint Jacobi matrices with a rank-one imaginary part, Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow, A generalised sparse factorisation method for the solution of periodic tridiagonal systems, Asymptotic behavior of solutions of general three term recurrence relations, \(R\)-positivity of nearest neighbor matrices and applications to Gibbs states, Padé approximation and continued fractions, Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays, The characteristic function for Jacobi matrices with applications, On the relation between Darboux transformations and polynomial mappings, Orthogonal polynomials on the unit circle and chain sequences, Bounded analytic maps, wall fractions and ABC-flow, Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters, A curious \(q\)-analogue of Hermite polynomials, Triangular expansions, Distributions on matrix moment spaces, Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers, Numeration and discrete dynamical systems, A conjecture based on Somos-4 sequence and its extension, Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties, Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function, The Jacobi matrices approach to Nevanlinna-Pick problems, Continued fractions without fractions: Lagrange theorem and Pell equations, Rational approximation for fractional-order system by particle swarm optimization, On a moment problem associated with Chebyshev polynomials, On suborbital graphs and related continued fractions, Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution, Continued \(g\)-fractions and geometry of bounded analytic maps, Records, antirecords et permutations discordantes. (Records, antirecords and discordant permutations), Hankel determinant calculus for the Thue-Morse and related sequences, Supersymmetric quantum mechanics with Lévy disorder in one dimension, Planar maps and continued fractions, Convergence of vectorial continued fractions related to the spectral seminorm, Counting lattice paths with four types of steps, A unified approach for the Hankel determinants of classical combinatorial numbers, Monotonicity of zeros for a class of polynomials including hypergeometric polynomials, New algorithms for the function T(h,a) of Owen, with application to bivariate normal and noncentral t-probabilities, Some applications of Stieltjes transforms in the construction of optimal designs for nonlinear regression models, Rectangling a rectangle, On the convergence of continued fractions at Runckel's points, On regular C-fraction and general T-fraction expansions for ratios of basic hypergeometric series and Ramanujan-type identities, Hierarchical spherical model from a geometric point of view, The two-dimensional \(g\)-fraction with independent variables for double power series, Nonstandard Gaussian quadrature formulae based on operator values, A personal perspective on the Last half-century of critical phenomena, Distributions on unbounded moment spaces and random moment sequences, Sufficient conditions for positive definiteness of tridiagonal matrices revisited, The continuous symmetric Hahn polynomials found in Ramanujan's lost notebook, The linear pencil approach to rational interpolation, Notes on Euler's work on divergent factorial series and their associated continued fractions, An inverse spectral problem for complex Jacobi matrices, Hierarchies of moment equations for the solution of the Schrödinger equation with random potential and their closure, A question by T. S. Chihara about shell polynomials and indeterminate moment problems, Coulomb and Bessel functions of complex arguments and order, Laurent continued fractions corresponding to pairs of power series, Efficient stable ways to calculate continued fraction coefficients from some series, On singular points of meromorphic functions determined by continued fractions, Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences, On total positivity of Catalan-Stieltjes matrices, Analysis of incomplete factorizations for a nine-point approximation to a convection-diffusion model problem, Proof of the Somos-4 Hankel determinants conjecture, Orthogonal polynomials associated with complementary chain sequences, Fast computation of periodic continued fractions, A weight function for the associated Jacobi-Laurent polynomials, On the convergence of limit periodic continued fractions \(K(a_ n/1)\), where \(a_ n\to -1/4.\) III, The second eigenvalue of regular graphs of given girth, On the measure of the spectrum for the almost Mathieu operator, Recent results relevant to the evaluation of infinite series, Two integer sequences related to Catalan numbers, On parabolic convergence regions for continued fractions, Bemerkungen zu einer Arbeit von Al-Salam und Carlitz, Covering theorems for \(S\)-fractions, An investigation of the applicability of the Padé approximant method, Some convergence regions for continued fractions, Periodic Pólya urns, the density method and asymptotics of Young tableaux, Continued fraction expansions of the generating functions of Bernoulli and related numbers, A discrete-time model for cryptic oscillations in predator-prey systems, Chapter 6 of Ramanujan's second notebook, Transience and volumes of trees, Model reduction for a class of linear dynamic systems, On Padé approximants associated with Hamburger series, Coefficientwise convergence rate of joint approximations obtained by Jacobi-Perron algorithm, On the computation of incomplete gamma functions in the complex domain, The analysis of simple list structures, Wilson polynomials and some continued fractions of Ramanujan, Asymptotic properties of orthogonal polynomials from their recurrence formula. I, The attractive Coulomb potential polynomials, Multidimensional chain sequences and \(g\)-fractions, A priori error estimates of multidimensional \(g\)-fraction approximations, Bounds on the complex permittivity of a multicomponent material, On occupation time functionals for diffusion processes and birth-and-death processes on graphs, A modified least squares method: approximations on the unit circle and on \((-1,1)\), A generalized von Neumann analysis for multi-level schemes: stability and spectral accuracy, On a mixture of the \(D\)- and \(D_ 1\)-optimality criterion in polynomial regression, Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\), On the classification of rational tangles, Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers, Measures on the unit circle and unitary truncations of unitary operators, On the dynamics of certain recurrence relations, Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions, \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle, Algebraic description of the finite Stieltjes moment problem, Hankel determinants and shifted periodic continued fractions, The spectrum of the cubic oscillator, Some new results for chain-sequence polynomials, Hypergeometric functions and hyperbolic metric, On classical orthogonal polynomials, Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials, Closed forms for asymptotic bias and variance in autoregressive models with unit roots, Formal orthogonal polynomials and Hankel/Toeplitz duality, Orthogonal polynomials related to \(_{g}\)-fractions with missing terms, A method of convergence acceleration of some continued fractions. II, Continued fractions for square series generating functions, Asymptotic expansions of the prime counting function, A look-ahead strategy for the implementation of some old and new extrapolation methods, Chebyshev quadrature for measures with a strong singularity, The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material, Two-point Padé approximants for the expansions of Stieltjes functions in real domain, Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials, Diagonalization of certain integral operators. II, A generalized ordered Bell polynomial, Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform, The characteristic function for complex doubly infinite Jacobi matrices, Stieltjes continued fractions related to the paperfolding sequence and Rudin-Shapiro sequence, On a continued fraction expansion for Euler's constant, On a multi-point Schwarz-Pick lemma, Hankel determinants, Hahn polynomials, and a formula of Krattenthaler, Hankel determinants of random moment sequences, Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers, The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers, Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices, Phylogenetic trees, augmented perfect matchings, and a Thron-type continued fraction (T-fraction) for the Ward polynomials, Multiple orthogonal polynomials associated with confluent hypergeometric functions, Stieltjes moment sequences for pattern-avoiding permutations, Thermostatistics of deformed bosons and fermions, \(J\)-fractional regularization of linear ill-posed equations, About families of orthogonal polynomials satisfying Heun's differential equation, Bijections of Motzkin paths using shifted Riordan decompositions, On the order of convexity for the shifted hypergeometric functions, Iterative methods applied to matrix equations found in calculating spheroidal functions, Continued fraction expansions for the Lambert \(W\) function, Mapping properties of the zero-balanced hypergeometric functions, Continued fractions and Stern polynomials, The Euler and Springer numbers as moment sequences, A geometrical approach to measure irrationality, Matrix methods for Padé approximation: numerical calculation of poles, zeros and residues, Certain properties of \(q\)-hypergeometric functions, Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials, Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling, Shifted Darboux transformations of the generalized Jacobi matrices. I, Para-orthogonal polynomials from constant Verblunsky coefficients, Orthogonal polynomials with discrete spectra of the real line, Total nonnegativity of infinite Hurwitz matrices of entire and meromorphic functions, A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula, Pseudo-factorials, elliptic functions, and continued fractions, An extended class of \(L^2\)-series solutions of the wave equation, Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence, A convergence theorem for continued fractions of the form \(K_{n=1}^{\infty}a_n/1\), Direct and inverse polynomial perturbations of Hermitian linear functionals, Conditional moments of \(q\)-Meixner processes, On general two-point continued fraction expansions and Padé tables, Computing spectral measures and spectral types, New developments of the extended quadrature method of moments to solve population balance equations, A generalized inverse eigenvalue problem and \(m\)-functions, Criteria for apwenian sequences, Hamiltonians on random walk trajectories, Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation, Regularization of the indefinite Stieltjes moment problem, Hankel determinants for convolution powers of Catalan numbers, Modified moments for indefinite weight functions, Contractive Laurent fractions and nested discs, Several properties of hypergeometric Bernoulli numbers, Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I, Convergence acceleration of continued fractions of Poincaré type, A generalization of a theorem of Pringsheim, Orthogonal polynomials and measures with finitely many point masses, A one-parameter family of transforms, linearizing convolution laws for probability distributions, A combinatorial approach to derangement matrix of type \(B\), Upon some continuous prediction algorithms. II, Decomposition of compartment transition functions by means of the Padé- approximation, Padé approximants as limits of best rational approximants, Hilbert space theoretic methods in the study of correlation measures, Continued fractions, discrete groups and complex dynamics, Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation, A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1\) and \([0,\infty)\)], Contractivity of linear fractional transformations, Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation, Sharp estimates for Jacobi matrices and chain sequences, Evaluations of a continued fraction of Ramanujan, Chain sequences and symmetric generalized orthogonal polynomials, Remarks on orthogonal polynomials and balanced realizations, Continued fraction solution of the Riccati equation: Application to acoustic horns and layered inhomogeneous media, with equivalent electrical circuits, Asymptotic behavior of linear forms with polynomial coefficients for some functions of Stieltjes type, Discrete Sturm-Liouville operators and some problems of function theory, Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients, Chebyshev's recursion: Analytic principles and applications, Principal representations and canonical moment sequences for distributions on an interval, On Freud's equations for exponential weights, Chain sequences and compact perturbations of orthogonal polynomials, Multicomponent composites, electrical networks and new types of continued fraction. I, Two-point Padé approximants for formal Stieltjes series, Continued-fraction decomposition of linear systems in the state space, Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)], Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials, Continued fractions associated with trigonometric and other strong moment problems, A representation and approximation of the solutions of hyperbolic differential equations, On the hydrodynamic motion of a test particle in a random harmonic chain, Characterizations of equilibrium queue length distributions in M/GI/1 queues, On Johnson's log-derivative algorithm for a single equation, On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. I, Continued fractions in numerical analysis, Rational approximations for the modified Bessel function of the second kind, Cumulant-free closure of the moment equations for the solution of a system of linear differential equations with randomly perturbed coefficients, On an extremal problem of Fejér, Convergence properties of a class of \(\hat J\)-fractions, Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials, Rational spectral transformations and orthogonal polynomials, How many random walks correspond to a given set of return probabilities to the origin?, Moment inequalities, A generalization of classical orthogonal polynomials and the convergence of simultaneous Padé approximants, The ordinary and matrix continued fractions in the theoretical analysis of Hermitian and relaxation operators, On the spectra of infinite-dimensional Jacobi matrices, Chain sequences, orthogonal polynomials, and Jacobi matrices, Error bounds for continued fractions \(K(1/b_n)\), Branched continued fractions for double power series, On the computation of non-normal Padé approximants, Evaluation of infinite series by use of continued fraction expansions: A numerical study, Continued-fraction expansions for ratios of generalized polynomials, Combinatorial aspects of continued fractions, Computation of poles of two-point Padé approximants and their limits, Lanczos method of tridiagonalization, Jacobi matrices and physics, A parallel Wilf algorithm for complex zeros of a polynomial, On a class of Sobolev scalar products in the polynomials., Sharp estimates for Jacobi matrices and chain sequences. II., An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function, Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture., Analytic solutions of the general anharmonic-oscillator problem, A new method for deriving adjacent approximants in the Padé table, The multidimensional generalization of \(g\)-fractions and their application., A quotient-difference algorithm for the determination of eigenvalues of periodic tridiagonal matrices, Meromorphic extension of analytic continued fractions across the line of nonconvergence, On the use of a corresponding sequence algorithm for \(\delta\)-fractions, Symbolic dynamics for the Lozi map, The reliability of exchangeable binary systems, Asymptotics of orthogonal L-polynomials for log-normal distributions, Backward extensions and strong Hamburger moment sequences, Padé approximants and Eisenstein-Ramanujan continued fraction, On a new characterization of the classical orthogonal polynomials, An inertia theorem for tridiagonal matrices and a criterion of Wall on continued fractions, Approximation of exponential function of a matrix by continued fraction expansion, A new look at the Padé table and the different methods for computing its elements, Truncation error analysis by means of approximant systems and inclusion regions, General rational approximants in N-variables, Upon a class of functions connected with the approximate solution of operator equations, Continuity on the boundary and analytic continuation of continued fractions, Continued fractions with restricted variation properties, On the zeros and poles of Padé approximants to \(e^z\), Matrix summability and a generalized Gibbs phenomenon, Sur le développement d'une fraction continue liée à série hypergéométrique et son interprétation en termes de records et anti-records dans les permutations. (On the development of a continued fraction related with a hypergeometric series and its interpretation in terms of records and antirecords in permutations), Rational approximations corresponding to Newton series (Newton-Padé approximants), Computation of Padé approximants and continued fractions, A new algorithm for summing divergent series. I: Basic theory and illustrations, A useful identity for the rational Hermite interpolation table, A class of algorithms for obtaining rational approximants to functions which are defined by power series, Padé approximants and the effective interaction, Convergence of generalized c-fractions, A two-variable generalization of the Stieltjes-type continued fraction, On redundance in aperiodicity criteria, When does f(z) have a regular C-fraction expansion or a normal Padé table?, An iterative method for simplification of discrete systems, On the domain of convergence and poles of complex \(J\)-fractions, Model-building problem of periodically correlated \(m\)-variate moving average processes, On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval, An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of Fourier series, Decay of the remanent magnetization in the asymmetric spin chain, Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions, Algebraic computations with continued fractions, Determinacy of bounded complex perturbations of Jacobi matrices, The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. II, The exact bound-state ansaetze as zero-order approximations in perturbation theory. II: An illustration: \(V(r)= r^2+ fr^2/ (1+gr^2)\), A birth-death process suggested by a chain sequence, A submultiplicative property of the psi function, Convergence regions with bounded convex complements for continued fractions \(K(1/b_n)\), Quenched, annealed and functional large deviations for one-dimensional random walk in random environment, Scalar Levin-type sequence transformations, Matrix Hermite-Padé problem and dynamical systems, On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator, Convergence conditions for vector Stieltjes continued fractions, Continued fractions and solutions of the Feigenbaum-Cvitanović equation, Properties of zeros of orthogonal polynomials and related functions, Certain Linear Combinations of Hausdorff Summability Methods, The degree of approximation of certain analytic continued fractions, On starlikeness of regular Coulomb wave functions, Sur le développement en série d'une fraction continue du type des fractions de Stieltjes, High order a-stable methods for the numerical solution of systems of D.E.'s, INTERPOLATING STATISTICS AND q-DEFORMED OSCILLATOR ALGEBRAS, Unnamed Item, Application of the Second Method of Lyapunov to the Proof of the Markov Stability Criterion, On a method of acceleration of convergence, Nonuniqueness of solutions in quantum field theory, Truncation error bounds for $\pi$-fractions, Quadratic Forms and Chain Sequences, On Classes of Univalent Continued Fractions, Unnamed Item, Iterationsverfahren zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung, Estimation of errors in the numerical quadrature of analytic functions, Incomplete Gamma functions for evaluating Erlang process probabilities, Computation of the padé table, On Recursively Defined Orthogonal Polynomials, Chain Sequences and Orthogonal Polynomials, Relative Controllability of Neutral Differential Equations with a Delay, Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions, Positive bidiagonal factorization of tetradiagonal Hessenberg matrices, Оскуляторний інтерполяційний ланцюговий дріб Тіле, New asymptotic expansions and Padé approximants related to the triple gamma function, The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion, Maxima and visibility in involutions, A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices, A simple algorithm for expanding a power series as a continued fraction, Random functions in H ?, Hankel determinants and Jacobi continued fractions for \(q\)-Euler numbers, Sufficient condition for \((\alpha,\beta)\) Somos 4 Hankel determinants, Rational Approximations to the Solution of the Second Order Riccati Equation, Simplification ofz-transfer functions by continued fractions †, On the numerical calculation of polylogarithms, Continued Fractions Over an Inner Product Space, Jacobi matrices generated by ratios of hypergeometric functions, On the relation between the continued fraction expansion and moments matching methods of model reduction †, A continued fraction algorithm, A property of stable systems of linear stochastic equations, Unnamed Item, Some Examples in Degree of Approximation by Rational Functions, Singularities of a Class of Meromorphic Functions, Dynamics of a quadratic map in two complex variables, Complex Jacobi matrices, Automatic Symmetrization and Energy Estimates Using Local Operators for Partial Differential Equations, Close-to-Convex Multivalent Functions with Respect to Weakly Starlike Functions, Secondary fluid flows driven electromagnetically in a two-dimensional extended duct, Worpitzky's theorem on continued fractions, Ted Chihara and his work on orthogonal polynomials, 45 years of orthogonal polynomials: A view from the wings, Robust hierarchical Bayes estimation of exchangeable means, Zeroes of orthogonal polynomials by QD-algorithm, The Worpitzky-Pringsheim theorem on continued fractions, Dynamics of the independent-oscillator (IO) model in the Einstein and pseudo-Debye limits, Some orthogonal polynomials related to elliptic functions, Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients Modulo Integers $h \geq 2$, On the Ramanujan AGM Fraction, I: The Real-Parameter Case, On the Ramanujan AGM Fraction, II: The Complex-Parameter Case, Continued fraction solutions of the Riccati equation, A new generalized Lindley distribution, ON FORMAL CONTINUED FRACTIONS RELATED TO POWER SERIES EXPANSION, On some of convergence domains of multidimensional S-fractions with independent variables, A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials, On sequences of Hurwitz polynomials related to orthogonal polynomials, Jacobi continued fraction and Hankel determinants of the Thue-Morse sequence, Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property, Continued Fractions With Absolutely Convergent Even and Odd Parts, Robust Bayesian Regression Analysis Using Ramsay-Novick Distributed Errors with Student-t Prior, Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I, The Reciprocal of a Continued Fraction, A convergent asymptotic expansion for Mill's ratio and the normal probability integral in terms of rational functions, Generating Birth and Death Processes, Continued fractions whose coefficients obey a non-commutative law of multiplication, Exact Transient Solution of a Discrete Time Queue with State-Dependent Rates, Divisor summability methods, Concerning continuous continued fractions and certain systems of Stieltjes integral equations, Der Quotienten-Differenzen-Algorithmus, Ein infinitesimales Analogon zum Quotienten-Differenzen-Algorithmus, A note on Wall's modification of the Schur algorithm and linear pencils of Jacobi matrices, Zero distribution of polynomials satisfying a differential-difference equation, Continued fractions and \(q\)-series generating functions for the generalized sum-of-divisors functions, Hausdorff dimensions of certain sets in terms of the Sylvester series, A truncated indefinite Stieltjes moment problem, Some polynomials related to Dowling lattices and \(\mathrm{x}\)-Stieltjes moment sequences, Geometric properties of basic hypergeometric functions, Estimates of the Rate of Pointwise and Uniform Convergence for One-Periodic Branched Continued Fractions of a Special Form, Self-interlacing polynomials, Оцінки швидкості збіжності 1-періодичного гіллястого ланцюгового дробу спеціального вигляду, Positive definite branched continued fractions of special form, Some properties of branched continued fractions of special form, Universal Keplerian state transition matrix, Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables, Representations of the functions \(\sinh z\), \(\cosh z\), \(\sin z\), and \(\cos z\) by continued fractions, Proof of a conjecture on Hankel determinants for Dyck paths with restricted peak heights, Decomposition of some Hankel matrices generated by the generalized rencontres polynomials, Acceleration of sequences with transformations involving hypergeometric functions, Some identities of Cauchy numbers associated with continued fractions, Beitrag zu Walls Verfahren der getrennten Berechnung von Real‐ und Imaginärteilen der Nullstellen eines Polynoms, Realizable second-order finite-volume schemes for the advection of moment sets of the particle size distribution, In praise (and search) of J. V. Uspensky, Eine Verallgemeinerung des Hornerschen Schemes, Tiling by rectangles and alternating current, Continued Fraction Approximants to the Brillouin-Wigner Perturbation Series, ARSENY: a program for computing inelastic transitions via hidden crossings in one-electron atomic ion-ion collisions with classical description of nuclear motion, Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices, Diophantine approximation of the exponential function and Sondow's conjecture, N-ary Transformations of Sequences, Calculation of regge poles by continued fractions - I, Arithmetic properties of certain polynomial sequences, Short and long ranged adsorption of directed paths, Some set partition statistics in non-crossing partitions and generating functions, Shrinking the period lengths of continued fractions while still capturing convergents, Hankel determinants for some common lattice paths, Evaluation of Fresnel integrals based on the continued fractions method, Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers, Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes, Combinatorial aspects of continued fractions. (Reprint), Exact transient solution of a state-dependent birth-death process, The tricritical behavior of self-interacting partially directed walks, Wonder of sine-Gordon $Y$-systems, Strong \(q\)-log-convexity of the Eulerian polynomials of Coxeter groups, Further properties of T-fractions, A spectral theory for the stationary transport operator in slab geometry, Continued fraction approximation to functions, A Criterion of Convergence of a Branched Continued Fraction with Positive Elements, Truncation error estimates for Stieltjes fractions, Upon the definition of an integral as the limit of a continued fraction, On the Zeros of Certain Confluent Hypergeometric Functions, A note on bounds for the asymptotic sampling variance of the maximum likelihood estimator estimator of a parameter in the negative binomial distribution, Divisor moment means, The Padé approximant, On the location of poles of Padé approximants, Recursion formulae for generalized hypergeometric functions, Truncation error bounds for g-fractions, Orthogonal polynomials whose zeros are dense in intervals, A generalization of the Padé approximant, Evaluation of integrals required in scattering theory. I: Non-exchange type integrals, Addenda and corrigenda to “The Minkowski question mark function: explicit series for the dyadic period function and moments”, Some Sufficient Conditions for a Determinate Hamburger Moment Sequence, Application of the principle of the minimum maximum modulus to generalized moment problems and some remarks on quantum field theory, ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD, An algorithm for Gaussian quadrature given modified moments, Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations, A priori estimates for truncation error of continued fractions \(K(1/b_ n\)), A Family of Best Twin Convergence Regions for Continued Fractions, Univalence of Continued Fractions and Stieltjes Transforms, Recurrence times for certain Markov random walks, A linear scheme for rational approximations, Distribution of zeros of certain meromorphic continued fractions, On exponential ergodicity and spectral structure for birth-death processes. I, On exponential ergodicity and spectral structure for birth-death processes. II, The existence and convergence of subsequences of Padé approximants, Invariants associated with the epsilon algorithm and its first confluent form, Uniqueness for algebraically regular solutions to pathological differential equations, \(N\)-point Padé approximants to real-valued Stieltjes series with nonzero radii of convergence, A simple ILU preconditioning coupled to orthomin method, An integrable semi-discrete equation and combinatorial numbers with their combinatorial interpretations, On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications, Euler’s constant: Euler’s work and modern developments, Fractional-order Systems and the Internal Model Principle, Convergence of Continued Fractions of Stieltjes Type, Mapping properties of basic hypergeometric functions, Some Convergence Theorems for Continued Fractions, Concerning Convergence of Continued Fractions, The Epsilon Algorithm and Operational Formulas of Numerical Analysis, Relaxation time for the discrete \(D/G/1\) queue, Starlike Hypergeometric Functions, Advanced determinant calculus: a complement, Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes, Thermal resonating Hartree–Bogoliubov theory based on the projection method, Boundedness of Value Regions and Convergence of Continued Fractions, Tales About Tails, The distribution of a moment estimator for a parameter of the generalized poisson distribution, The Hankel Power Sum Matrix Inverse and the Bernoulli Continued Fraction, Anomalous Convergence of a Continued Fraction for Ratios of Kummer Functions, An algorithmic method for the simplification of linear dynamic scalar systems, On the Computation of Modified Bessel Function Ratios, An essay on continued fractions, On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form, Stochastic LU factorizations, Darboux transformations and urn models, MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION, Large deviations for quantum spin probabilities at temperature zero, Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials, Padé approximation of stieltjes series associated with some freud weights, Periodic P\'olya urns and an application to Young tableaux, A Strong Stieltjes Moment Problem, The Parameters of a Chain Sequence, On the similarity of complex symmetric operators to perturbations of restrictions of normal operators, Optimal inequalities of padé approximant errors in the stieltjes case: closing result, A note on some peculiar nonlinear extremal phenomena of the Chebyshev polynomials, Hamburger Moment Problems and Orthogonal Polynomials, Positivity of Iterated Sequences of Polynomials, On the convergence of multidimensional S-fractions with independent variables, Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure, Moments of Balanced Measures on Julia Sets, Some entries in Ramanujan's notebooks, Rational Approximants Defined from Double Power Series, HAUSDORFF DIMENSIONS OF SOME EXCEPTIONAL SETS IN THE FIRST OSTROGRADSKY SERIES, On the singularity of the spectral measures of a semi-infinite random system, Linear system reduction using Pade approximation to allow retention of dominant modes, Convergence from divergence, Approximation of irrational transfer function exp (−√s) by Ritz method, Model reduction using the Routh stability criterion and the Padé approximation technique, Characterizations of generalized Hermite and sieved ultraspherical polynomials, Quantum spin probabilities at positive temperature are Hölder Gibbs probabilities, Construction of the inverse of linear time-invariant multivariable systems, Spectral Properties of Orthogonal Polynomials on Unbounded Sets, On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions, Quasi associated continued fractions and Hankel determinants of Dixon elliptic functions via Sumudu transform, Homographic transformation for the simplification of discrete-time transfer functions by Padé approximation, Extremal properties of Padé quotients, Unnamed Item, Homographic transformation for the simplification of continuous-time transfer functions by Padé approximation, Continued-fraction expansions for the Riemann zeta function and polylogarithms, Development of the Theory of Branched Continued Fractions in 1996–2016, On Convergence of a Two-Dimensional Generalization of a Continued g-Fraction, Comment on Homographic transformation for the simplification of continuous-time transfer functions by Padé approximation, ON BAUER–MUIR TRANSFORM OF CONTINUED FRACTIONS, Arithmetic properties of certain functions in several variables III, One-mode interacting Fock spaces and random walks on graphs, Continued fractions, A single server queue with a varying gate mechanism, Apéry Limits: Experiments and Proofs, Birth and Death (BDP) Process Models with Applications, Inverse scattering and minimal partial realizations, Tangles, Rational Knots and DNA, The Minkowski question mark function: explicit series for the dyadic period function and moments, Algorithms for the element values in a class of stub‐unit‐element cascades, Simplification of linear time-invariant systems by moment approximants †, Bounds for modified Bessel functions of the first and second kinds, Unnamed Item, On the simplification of large linear systems using Padé -type approximations and Cauer continued fractions, Addition theorems via continued fractions, On a transformation of Riordan moment sequences, Approximating systems with infinite-dimensional state-space, A matrix in the block Schwarz form and the stability of matrix polynomials, 𝑊-Markov measures, transfer operators, wavelets and multiresolutions, Stable biased reduced order models using the Routh method of reduction, Hurwitz continued fractions with confluent hypergeometric functions, The interruption phenomenon for generalized continued fractions, Unnamed Item, Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials, Gauss on Gaussian Quadrature, Numerical Stability in Evaluating Continued Fractions, Unnamed Item, The $\gamma$-Vectors of Pascal-like Triangles Defined by Riordan Arrays, Positivity and continued fractions from the binomial transformation, Estimation for General Birth-Death Processes, A Fairly Accurate Approximation to the Area Under Normal Curve, A Reconsideration of the General Parabola Theorem in Continued Fractions, Classes of infinitely divisible distributions and densities, Unnamed Item, Unnamed Item, Chapter 4 of Ramanujan's Second Notebook, The Toda molecule equation and the 𝜖-algorithm, The direct solution of banded linear systems by a new matrix factorization procedure, Unnamed Item, Unnamed Item, Analytic Expressions for Continued Fractions Over a Vector Space, Computation of Relative Class Numbers of Imaginary Abelian Number Fields, Padé approximation and orthogonal polynomials, Padé approximation and gaussian quadrature, On the Reconstruction of a String from Spectral Data, Completely monotone sequences and harmonic mappings, Calculation of values of 𝐿-functions associated to elliptic curves, Estimates of the Speed of Convergence of Continued Fraction Expansions of Functions, Continued fraction methods for the reduction of discrete-time dynamic systems, Bounds for ratios of modifield bessel functions, On the heterogeneity of proportions, An Algorithm of J. Schur and the Taylor Series
