Approximants de Padé et $U$-dérivation

DOI10.24033/bsmf.2246zbMath0810.05009OpenAlexW2520830237MaRDI QIDQ4320459

Daniel Duverney

Publication date: 1 February 1995

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1994__122_4_553_0

zbMATH Keywords

orthogonal polynomialsPadé approximantsformal seriesapproximantsPadé table\(U\)-derivation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Padé approximation (41A21) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Rate of convergence of Padé approximants for a particular Wynn series ⋮ Concerning the series \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\) ⋮ Nonlinear functional equations satisfied by orthogonal polynomials ⋮ On the irrationality of \(\sum \frac{t^n} {A\alpha^n+ B\beta^n}\) ⋮ Diophantine approximations using Padé approximations

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• Rationale Approximation des \(q\)-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion. (Rational approximation of the \(q\)-analogue of the exponential function and irrationality statements for this function)
• \(U\)-derivation
• Padé approximants for the q-elementary functions
• The special functions and their approximations. Vol. I, II
• On the irrationality of \(\sum (1/(q^ n+r))\)

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