zbMath0714.01001MaRDI QIDQ3997784
Claude Brezinski
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
The Life, Work, and Legacy of P. L. Chebyshev ⋮
Run-hierarchical structure of digital lines with irrational slopes in terms of continued fractions and the Gauss map ⋮
Algebraic description of the finite Stieltjes moment problem ⋮
On two conjectures that shaped the historiography of indeterminate analysis: Strachey and Chasles on Sanskrit sources ⋮
Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials ⋮
Diagonal Padé approximants to hyperelliptic functions ⋮
Some recurrence formulas for the Hermite polynomials and their squares ⋮
A near-optimal solution to the Gauss-Kuzmin-Lévy problem for \(\theta\)-expansions ⋮
Non-commutative Hermite-Padé approximation and integrability ⋮
Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮
On variational and topological methods in nonlinear difference equations ⋮
Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences ⋮
Estimates of the Rate of Pointwise and Uniform Convergence for One-Periodic Branched Continued Fractions of a Special Form ⋮
On Sturmian graphs ⋮
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants ⋮
From numerical quadrature to Padé approximation ⋮
Sparse polynomial interpolation with Bernstein polynomials ⋮
Continued reciprocal roots ⋮
Hankel determinants, Hahn polynomials, and a formula of Krattenthaler ⋮
Integrability and geometry of the Wynn recurrence ⋮
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials ⋮
Robust formula for \(N\)-point Padé approximant calculation based on Wynn identity ⋮
Sturmian graphs and integer representations over numeration systems ⋮
Aggregation kinetics in sedimentation: effect of diffusion of particles ⋮
A simple algorithm for expanding a power series as a continued fraction ⋮
Fast algorithms for Toeplitz and Hankel matrices ⋮
Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers ⋮
Some continued fractions for \(\pi\) and \(G\) ⋮
Extrapolation methods for improving the convergence of oligomer calculations to the infinite chain limit of quasi-one-dimensional stereoregular polymers. ⋮
The rational iteration method by Georges Lemaître ⋮
A Gauss-Kuzmin theorem and related questions for \(\theta \)-expansions ⋮
Complex continued fractions: early work of the brothers Adolf and Julius Hurwitz ⋮
A Note on the Density of Rational Functions in A ∞(Ω) ⋮
Padé approximation for a multivariate Markov transform ⋮
Lord Brouncker's forgotten sequence of continued fractions for pi ⋮
A representation of the interpolation polynomial ⋮
The Euler and Springer numbers as moment sequences ⋮
Shrinking the period lengths of continued fractions while still capturing convergents ⋮
Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials ⋮
On regular C-fraction and general T-fraction expansions for ratios of basic hypergeometric series and Ramanujan-type identities ⋮
Convergence acceleration via combined nonlinear-condensation transformations ⋮
Convergence acceleration during the 20th century ⋮
Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems ⋮
Auxiliary functions in transcendental number theory ⋮
On diophantine approximation along algebraic curves ⋮
Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes ⋮
Continued fractions and the origins of the Perron-Frobenius theorem ⋮
Matrix Chebyshev polynomials and continued fractions ⋮
Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order ⋮
On Lazy Representations and Sturmian Graphs ⋮
Continued Fractions and Digital Lines with Irrational Slopes ⋮
Euclid algorithm, orthogonal polynomials, and generalized Routh-Hurwitz algorithm ⋮
An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of Fourier series ⋮
Description of Generalized Continued Fractions by Finite Automata ⋮
REAL QUADRATIC FIELDS, CONTINUED FRACTIONS, AND A CONSTRUCTION OF PRIMARY SYMMETRIC PARTS OF ELE TYPE ⋮
Fibonacci, van der Corput and Riesz-Nágy ⋮
On zeros of the numerator and denominator polynomials of Thiele's continued fraction ⋮
Fractional-order Systems and the Internal Model Principle ⋮
An essay on the history of inequalities ⋮
Sequence transformations in proofs of irrationality of some fundamental constants ⋮
Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm ⋮
Application of the homotopy-Padé technique in the prediction of optimal convergence-control parameter ⋮
Convergence conditions for vector Stieltjes continued fractions ⋮
Felice Casorati and the reception of Gaussian optics in Italy ⋮
Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation ⋮
Non-commutative double-sided continued fractions ⋮
Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
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