On general two-point continued fraction expansions and Padé tables

DOI10.1016/0021-9045(91)90065-IzbMath0725.41016MaRDI QIDQ2276708

P. Achuthan, S. Ponnuswamy

Publication date: 1991

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Frank theorem for square blocks in the Padé table

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items (3)

Global approximation for some functions ⋮ Padé approximants and Eisenstein-Ramanujan continued fraction ⋮ On regular C-fraction and general T-fraction expansions for ratios of basic hypergeometric series and Ramanujan-type identities

Cites Work

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• On the non-normal two-point Padé table
• Some aspects of two-point Padé approximants
• Computation of the Chebyshev-Padé table
• Some continued fractions of the Rogers-Ramanujan type
• Note on some continued fractions of the Rogers-Ramanujan type
• Block Structure in the Chebyshev–Padé Table
• A Formal Extension of the Padé Table to Include Two Point Padé Quotients
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• Two-point Padé tables and 𝑇-fractions
• The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
• Further Identities of the Rogers-Ramanujan Type
• Corresponding Type Continued Fractions

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