Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series III)

DOI10.1007/BF01844422zbMath0767.41019MaRDI QIDQ2366033

Kathy A. Driver, Doron S. Lubinsky

Publication date: 29 June 1993

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137504

zbMATH Keywords

Padé approximants

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (7)

Rate of convergence of Padé approximants for a particular Wynn series ⋮ Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮ Irregular distribution of \(\{n\beta{}\} \), \(n=1,2,3,\)\dots , quadrature of singular integrands, and curious basic hypergeometric series ⋮ Multivariate Padé approximants associated with functional relations ⋮ On the irrationality of \(\sum \frac{t^n} {A\alpha^n+ B\beta^n}\) ⋮ The size of \((q;q)_n\) for \(q\) on the unit circle ⋮ Diophantine approximations using Padé approximations

Cites Work

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• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• Diagonal Padé approximants and capacity
• Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series I)
• Padé approximants for the q-elementary functions
• Convergence of Padé approximants to quasianalytic functions beyond natural boundaries
• ON THE CONVERGENCE OF PADÉ APPROXIMANTS IN CLASSES OF HOLOMORPHlC FUNCTIONS
• A GENERAL SYSTEM OF ORTHOGONAL POLYNOMIALS

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