zbMath0445.30003MaRDI QIDQ3889331
W. J. Thron, William B. Jones
Publication date: 1980
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pringsheim's theorem for generalized continued fractions ⋮
Even and odd parts of limit periodic continued fractions ⋮
Deciding probabilistic automata weak bisimulation: theory and practice ⋮
Survey article: continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle ⋮
Multicomponent composites, electrical networks and new types of continued fraction. I ⋮
Multicomponent composites, electrical networks and new types of continued fraction. II ⋮
Generalized Hurwitz matrices, generalized Euclidean algorithm, and forbidden sectors of the complex plane ⋮
Continued fractions associated with trigonometric and other strong moment problems ⋮
Associated branched continued fractions with two independent variables ⋮
Block spin approach to the singularity properties of the continued fractions ⋮
The combinatorics of q-Hermite polynomials and the Askey-Wilson integral ⋮
Algebraic decay in self-similar Markov chains ⋮
General correspondence for continued fractions ⋮
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 ⋮
Problems in calculating moments and distribution functions of ladder heights ⋮
Derivatives of continued fractions with applications to hypergeometric functions ⋮
Inverse polynomial expansions of Laurent series ⋮
A note on two convergence acceleration methods for ordinary continued fractions ⋮
Limit periodic iteration ⋮
Padé tables of entire functions of very slow and smooth growth. II ⋮
Application of integral continued fractions to solve linear equations of second kind ⋮
On Koch's convergence criterion for branching continued fractions ⋮
Closure method and asymptotic expansions for linear stochastic systems ⋮
Ordered OLPS and CF \(n\)th numerators ⋮
Pringsheim's theorem revisited ⋮
Determination and analysis of the effective relaxation properties of a composite with viscoelastic components ⋮
Truncation error bounds for modified continued fractions with applications to special functions ⋮
Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences ⋮
Zeros of orthogonal Laurent polynomials and solutions of strong Stieltjes moment problems ⋮
Orthogonality and recurrence for ordered Laurent polynomial sequences ⋮
\(R\)-positivity of nearest neighbor matrices and applications to Gibbs states ⋮
Padé approximation and continued fractions ⋮
Dichotomy of WKB-solutions of discrete Schrödinger equation ⋮
On closure methods in nonlinear stochastic dynamics ⋮
Padé approximants to certain elliptic-type functions ⋮
Inversion polynomials for 321-avoiding permutations ⋮
A characterization of L-orthogonal polynomials from three term recurrence relations ⋮
On some continued fraction expansions of the Rogers-Ramanujan type ⋮
Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers ⋮
The Jacobi matrices approach to Nevanlinna-Pick problems ⋮
Computation of poles of two-point Padé approximants and their limits ⋮
A method of formalizing computer operations for solving nonlinear differential equations ⋮
Some observations on the distribution of values of continued fractions ⋮
Algorithms for the evaluation of Bessel functions of complex argument and integer orders ⋮
On suborbital graphs and related continued fractions ⋮
On the Bauer-Muir transformation for continued fractions and its applications ⋮
Renormalization group approach to function approximation and to improving subsequent approximations ⋮
A new construction of the real numbers by alternating series ⋮
Varieties generated by simple \(l\)-groups ⋮
Associated Wilson polynomials ⋮
The use of the sequence \(F_ n (z)= f_ n \circ{} \cdot \cdot \cdot \circ{} f_ 1(z)\) in computing fixed points of continued fractions, products, and series ⋮
Boundary version of a twin region convergence theorem for continued fractions ⋮
Stability and exponential stability of linear discrete systems with constant coefficients and single delay ⋮
Asymptotics of orthogonal L-polynomials for log-normal distributions ⋮
Constructive theory of scalar characteristic equations of the theory of radiation transport. II: Algorithms for finding solutions and their analytic representations ⋮
Scalar space-time waves in their spectral-domain first- and second-order Thiele approximations ⋮
Some local properties of two-dimensional continued fractions ⋮
Iteration of Möbius transformations and attractors on the real line ⋮
Padé approximants and Eisenstein-Ramanujan continued fraction ⋮
Asymptotic behavior of polynomials satisfying three-term recurrence relations ⋮
On regular C-fraction and general T-fraction expansions for ratios of basic hypergeometric series and Ramanujan-type identities ⋮
Wave-absorbing vehicular platoon controller ⋮
Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the Hausdorff dimension of their global attractors ⋮
The parabola theorem on continued fractions ⋮
Ergodic properties of some inverse polynomial series expansions of Laurent series ⋮
Classification theorems for general orthogonal polynomials on the unit circle ⋮
On branched continued fractions rational interpolation over pyramid-typed grids ⋮
On Waring's problem (elementary methods) ⋮
The linear pencil approach to rational interpolation ⋮
Gauss-Legendre and Chebyshev quadratures for singular integrals ⋮
Szegő type polynomials and para-orthogonal polynomials ⋮
On the domain of meromorphy of limit k-periodic continued fractions ⋮
Laurent continued fractions corresponding to pairs of power series ⋮
Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain ⋮
Shrinking the period length of quasi-periodic continued fractions ⋮
Proof of the Somos-4 Hankel determinants conjecture ⋮
An operator approach to multipoint Padé approximations ⋮
Stable row recurrences for the Padé table and generically superfast lookahead solvers for non-Hermitian Toeplitz systems ⋮
The limiting behavior of sequences of Moebius transformations ⋮
Compositions of contractions ⋮
Fast computation of periodic continued fractions ⋮
Asymptotic properties of a family of orthogonal polynomial sequences ⋮
The strong Chebyshev distribution and orthogonal Laurent polynomials ⋮
A convergence result for regular Blaschke fractions ⋮
On the convergence of limit periodic continued fractions \(K(a_ n/1)\), where \(a_ n\to -1/4.\) III ⋮
Chaos and continued fractions ⋮
Continued fraction expansions and permutative representations of the Cuntz algebra \(\mathcal O_\infty\) ⋮
Continued fraction expansions of the generating functions of Bernoulli and related numbers ⋮
Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\) ⋮
Repeated modifications of limit k-periodic continued fractions ⋮
Reflections on value regions, limit regions and truncation errors for continued fractions ⋮
On the computation of incomplete gamma functions in the complex domain ⋮
Pringsheim-type convergence indicators for branching continued fractions ⋮
On the paper ``A continued fraction approximation of the modified Bessel function \(I_ 1(t)\) by P. R. Parthasarathy and N. Balakrishnan ⋮ Where do all the values go? Playing with two-element continued fractions ⋮ Padé techniques for model reduction in linear system theory: a survey ⋮ Wilson polynomials and some continued fractions of Ramanujan ⋮ Arithmetic operations with regular \(C\)-fractions ⋮ A priori error estimates of multidimensional \(g\)-fraction approximations ⋮ A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Rational approximations of the exponential function at rational points ⋮ Solution formulas for linear difference equations with applications to continued fractions ⋮ Some identities for \(G\)-continued fractions and generalized continued fractions ⋮ A note on separate convergence for continued fractions ⋮ Generalized iteration ⋮ On the dynamics of certain recurrence relations ⋮ Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions ⋮ Hankel determinants and shifted periodic continued fractions ⋮ Two-point Padé approximants for formal Stieltjes series ⋮ Computing sum of squares decompositions with rational coefficients ⋮ Computation of limit periodic continued fractions. A survey ⋮ Continued fraction representation of the generating function of Bernoulli polynomials ⋮ On classical orthogonal polynomials ⋮ Convergence region inclusion theorems for continued fractions \(K(a_ n/1)\) ⋮ A few remarks on \(\zeta (3)\) ⋮ A method of convergence acceleration of some continued fractions. II ⋮ Asymptotic behavior of solutions of three-term Poincaré difference equations ⋮ Topological entropy and secondary folding ⋮ Computation of special functions by Padé approximants with orthogonal polynomial denominators ⋮ Extrapolation algorithms and Padé approximations: A historical survey ⋮ Contiguous relations, continued fractions and orthogonality: An \(_ 8\varphi_ 7\) model ⋮ Global hypoellipticity and global solvability for a class of operators on compact manifolds ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials ⋮ Diagonalization of certain integral operators. II ⋮ On the growth of meromorphic functions defined by quasi-regular \(c\)-fractions ⋮ Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations ⋮ A note on bounds for the derivatives of continued fractions ⋮ Representations of the functions \(\sinh z\), \(\cosh z\), \(\sin z\), and \(\cos z\) by continued fractions ⋮ Contiguous relations, Laplace's methods, and continued fractions for \({}_3F_2(1)\) ⋮ Laurent biorthogonal polynomials, \( q\)-Narayana polynomials and domino tilings of the Aztec diamonds ⋮ Ramanujan theta functions and birth and death processes ⋮ Touchard-Riordan formulas, T-fractions, and Jacobi's triple product identity ⋮ Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. ⋮ Truncation error bounds for the branched continued fraction \(\sum_{i_{1=1}}^N\frac{a_{i(1)}}{1}+\sum_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+\sum_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots \) ⋮ Truncation error bounds for branched continued fraction whose partial denominators are equal to unity ⋮ A continuant and an estimate of the remainder of the interpolating continued \(C\)-fraction ⋮ \(J\)-fractional regularization of linear ill-posed equations ⋮ Positivity of continued fractions associated with rational Stieltjes moment problems ⋮ Continued fractions, wavelet time operators, and inverse problems ⋮ An inverse problem in birth and death processes ⋮ Difference equations in statistical mechanics. II: Solid-on-solid models in two dimensions. ⋮ The multidimensional generalization of \(g\)-fractions and their application. ⋮ Classical susceptibilities of chaotic systems. ⋮ Accurate quotient-difference algorithm: error analysis, improvements and applications ⋮ Heat flow and an algebra of Toeplitz operators ⋮ Orthogonal Laurent polynomials. A new algebraic approach ⋮ Accelerating convergence of the continued fraction for the normal integral ⋮ Tasoev's continued fractions and Rogers-Ramanujan continued fractions ⋮ Shifted Darboux transformations of the generalized Jacobi matrices. I ⋮ Continued fractions and orthogonal polynomials on the unit circle ⋮ A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula ⋮ The Riemann \(\zeta \) function and asymptotics for Stieltjes fractions ⋮ On application of Euler's differential method to a continued fraction depending on parameter ⋮ Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence ⋮ Stieltjes continued fractions for polygamma functions; speed of convergence ⋮ A convergence theorem for continued fractions of the form \(K_{n=1}^{\infty}a_n/1\) ⋮ On general two-point continued fraction expansions and Padé tables ⋮ Irrationality exponents of numbers related with Cahen's constant ⋮ Stieltjes moment properties and continued fractions from combinatorial triangles ⋮ Multivariate homogeneous two-point Padé approximants and continued fractions ⋮ Multidimensional associated fractions with independent variables and multiple power series ⋮ Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation ⋮ Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations ⋮ On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval ⋮ A birth and death process related to the Rogers-Ramanujan continued fraction ⋮ Hankel determinants for convolution powers of Catalan numbers ⋮ Contractive Laurent fractions and nested discs ⋮ On a Khovanskii transformation for continued fractions ⋮ Recursive partial realization from the combined sequence of Markov parameters and moments ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I ⋮ Continued fractions associated with the Newton-Padé table ⋮ True many-particle scattering in the oscillator representation ⋮ The orthogonal polynomials and the Padé approximation ⋮ On zeros of the numerator and denominator polynomials of Thiele's continued fraction ⋮ Computing the logarithm of a symmetric positive definite matrix ⋮ Hankel matrices, positive functions and related questions ⋮ A note on extending Euler's connection between continued fractions and power series ⋮ Orthogonal Laurent polynomials and strong moment theory: A survey ⋮ Para-orthogonal Laurent polynomials and the strong Stieltjes moment problem ⋮ On a symmetry in strong distributions ⋮ A natural continuous interpolating structure for continued fractions ⋮ Convergence regions with bounded convex complements for continued fractions \(K(1/b_n)\) ⋮ The epsilon algorithm and related topics ⋮ Continued fractions, discrete groups and complex dynamics ⋮ Convergence and estimation of the truncation error for the corresponding two-dimensional continued fractions ⋮ Convergence of matrix continued fractions ⋮ A rational Stieltjes moment problem. ⋮ Mathematica evidence that Ramanujan kills Baker-Gammel-Wills. ⋮ Formulas for rational interpolation and remainders ⋮ A paired queueing system arising in multimedia synchronization. ⋮ A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations ⋮ Mechanics of the delayed fracture of viscoelastic bodies with cracks: Theory and experiment (review) ⋮ The continuum as a final coalgebra ⋮ On deforming of a linear viscoelastic orthotropic half-space under the turning rigid cylindrical roller ⋮ Continued fraction expansion of the geometric matrix mean and applications ⋮ A refined Gallai-Edmonds structure theorem for weighted matching polynomials ⋮ Constructive theory of scalar characteristic equations of the theory of radiation transport. I: Basic assertions of the theory and conditions for the applicability of the truncation method ⋮ Algorithm for summation of divergent continued fractions and some applications ⋮ A backward three-term recurrence relation for vector valued continued fractions and its applications ⋮ Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions ⋮ Оскуляторний інтерполяційний ланцюговий дріб Тіле ⋮ CERTAIN RESULTS ON CONTINUED FRACTIONS ⋮ RELATIONSHIPS BETWEEN MOCK THETA FUNCTIONS AND q-CONTINUED FRACTIONS ⋮ Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ Finite \(A_2\)-continued fractions in the problems of rational approximations of real numbers ⋮ A simple algorithm for expanding a power series as a continued fraction ⋮ Continued fraction representations of the generalized operator entropy ⋮ Sufficient condition for \((\alpha,\beta)\) Somos 4 Hankel determinants ⋮ Unnamed Item ⋮ A continued fraction approximation of the modified Bessel function \(I_ 1(t)\) ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ A continued fraction approximation of the modified Bessel function \(I_ 1(t)\) ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ Schur's algorithm, orthogonal polynomials, and convergence of Wall's continued fractions in \(L^2(\mathbb{T})\). ⋮ Rational approximations to certain numbers ⋮ 45 years of orthogonal polynomials: A view from the wings ⋮ Generalized Gegenbauer orthogonal polynomials ⋮ The Worpitzky-Pringsheim theorem on continued fractions ⋮ Tales About Tails ⋮ Basic hypergeometric functions and orthogonal Laurent polynomials ⋮ Generalized continued fraction expansions for π and e ⋮ On Quadrature Approximation for the Busy Period Density Function of an M/M/1 Queueing System ⋮ New sets of stability criteria as a generalization of Markov's stability theorem ⋮ Generating Birth and Death Processes ⋮ Exact Transient Solution of a Discrete Time Queue with State-Dependent Rates ⋮ An essay on continued fractions ⋮ ZIPF AND LERCH LIMIT OF BIRTH AND DEATH PROCESSES ⋮ A Favard theorem for rational functions ⋮ Complex dynamics of the limit periodic system \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n\to f\) ⋮ Global Hypoellipticity of a Mathieu Operator ⋮ An algorithm of infinite sums representations and Tasoev continued fractions ⋮ A Short Proof of a Continued Fraction Test for the Stability of Polynomials ⋮ Matrix representation of continued fractions and its use in parallel computation algorithms ⋮ The eigenvalue equation on the Eguchi–Hanson space ⋮ Stability in the Calculation of Two-Dimensional Continued Fractions ⋮ Estimates of the Rate of Pointwise and Uniform Convergence for One-Periodic Branched Continued Fractions of a Special Form ⋮ Two-Dimensional Generalization of the Rutishauser qd -Algorithm ⋮ Some convergence regions of branched continued fractions of special form ⋮ Оцінки швидкості збіжності 1-періодичного гіллястого ланцюгового дробу спеціального вигляду ⋮ Про нескінченні залишки гіллястого ланцюгового дробу Ньордунда для гіпергеометричних функцій Аппеля ⋮ Some properties of branched continued fractions of special form ⋮ Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables ⋮ Proof of a conjecture on Hankel determinants for Dyck paths with restricted peak heights ⋮ Momentum dependent gap in holographic superconductors revisited ⋮ Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience ⋮ A multidimensional generalization of the Rutishauser $qd$-algorithm ⋮ Continued fractions with circular twin value sets ⋮ Approximate Global Minimizers to Pairwise Interaction Problems via Convex Relaxation ⋮ On the convergence of Padé approximations for generalized Nevanlinna functions ⋮ Simultaneous expansion and inversion of the Cauer continued fractions of certain transfer functions ⋮ A discrete and q asymptotic iteration method ⋮ Determination of the effective characteristics of a viscoelastic composite with relaxation of its components in the form of fractional exponents of different orders ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ Hausdorff dimension of sets of divergence arising from continued fractions ⋮ Birth-death processes and $q$-continued fractions ⋮ Multidimensional regular C-fraction with independent variables corresponding to formal multiple power series ⋮ Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations ⋮ Necessary and sufficient conditions for extending a function to a Schur function ⋮ Pages from the Computer Files of R. William Gosper ⋮ Continued-fraction expansions for the Riemann zeta function and polylogarithms ⋮ Time-dependent analysis of a single-server retrial queue with state-dependent rates ⋮ Development of the Theory of Branched Continued Fractions in 1996–2016 ⋮ ON BAUER–MUIR TRANSFORM OF CONTINUED FRACTIONS ⋮ Shrinking the period lengths of continued fractions while still capturing convergents ⋮ General Convergence of Continued Fractions ⋮ On the numerical solution of transient probabilities of a state-dependent multiserver queue ⋮ Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain ⋮ Hankel determinants for some common lattice paths ⋮ A single server queue with a varying gate mechanism ⋮ Domains for Computation in Mathematics, Physics and Exact Real Arithmetic ⋮ Contiguous relations, continued fractions and orthogonality ⋮ Explicit form for impedance of cauer networks ⋮ Apéry Limits: Experiments and Proofs ⋮ Birth and Death (BDP) Process Models with Applications ⋮ The convergence and divergence of \(q\)-continued fractions outside the unit circle ⋮ Inverse scattering and minimal partial realizations ⋮ ON MULTISERVER RETRIAL QUEUES: HISTORY, OKUBO-TYPE HYPERGEOMETRIC SYSTEMS AND MATRIX CONTINUED-FRACTIONS ⋮ Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions ⋮ Interpolation continued fraction and two extremal problems on rational approximations of \(|x|\) ⋮ Ramanujan and extensions and contractions of continued fractions ⋮ An Algorithm for Nondominant Solutions of Linear Second-Order Inhomogeneous Difference Equations ⋮ Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators ⋮ Divergence of Continued Fractions Related to Hypergeometric Series ⋮ Modular forms and Eisenstein's continued fractions ⋮ Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes ⋮ Pole- and Zero-Free Regions for Analytic Continued Fractions ⋮ Robust hierarchical Bayes estimation of exchangeable means ⋮ Ramanujan continued fractions via orthogonal polynomials ⋮ Exact transient solution of a state-dependent birth-death process ⋮ Hyperbolic geometry and the Hillam-Thron theorem ⋮ A generalization of Pincherle's theorem to \(k\)-term recursion relations ⋮ Szegő polynomials from hypergeometric functions ⋮ Hurwitz continued fractions with confluent hypergeometric functions ⋮ Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials ⋮ Unnamed Item ⋮ Schur’s criterion for formal power series ⋮ Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems ⋮ Some Sets of Relative Stability Under Perturbations of Branched Continued Fractions with Complex Elements and a Variable Number of Branches ⋮ On Some Sequences of the Sets of Uniform Convergence for Two-Dimensional Continued Fractions ⋮ A Criterion of Convergence of a Branched Continued Fraction with Positive Elements ⋮ A weak approximation for the Wiener–Hopf factorization ⋮ On the Ramanujan AGM Fraction, I: The Real-Parameter Case ⋮ On the Ramanujan AGM Fraction, II: The Complex-Parameter Case ⋮ ON FORMAL CONTINUED FRACTIONS RELATED TO POWER SERIES EXPANSION ⋮ A Reconsideration of the General Parabola Theorem in Continued Fractions ⋮ Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction ⋮ On some of convergence domains of multidimensional S-fractions with independent variables ⋮ Unnamed Item ⋮ Orthogonal polynomials and Padé approximation ⋮ Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property ⋮ Unnamed Item ⋮ Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions ⋮ Periodic continued fractions over $S$-integers in number fields and Skolem’s $p$-adic method ⋮ On the Bauer-Muir transformation for continued fractions and its applications. ⋮ Recursion formulas for poly-Bernoulli numbers and their applications ⋮ The Asymptotic Behavior of Toeplitz Determinants Generated by the Laurent Coefficients of a Meromorphic Function ⋮ Calculation of values of 𝐿-functions associated to elliptic curves ⋮ Thermal resonating Hartree–Bogoliubov theory based on the projection method