Remainder Padé approximants for hypergeometric series

DOI10.1080/10652469.2019.1624542zbMath1423.41018OpenAlexW2948843100MaRDI QIDQ5231151

Tanguy Rivoal, Marc Prevost

Publication date: 26 August 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1624542

zbMATH Keywords

hypergeometric functionmultiple Charlier polynomialsremainder Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21) Simultaneous approximation (41A28)

Cites Work

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• On \(q\)-analogues of divergent and exponential series
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• Some discrete multiple orthogonal polynomials
• A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
• On the arithmetic nature of the values of the gamma function, Euler's constant, and Gompertz's constant
• Nombres Exponentiels Et Nombres De Bernoulli
• Sur les Propriétés Arithmétiques d'une Fonction Entière
• On the non-quadraticity of values of the q-exponential function and related q-series

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