Remainder Padé approximants for the Hurwitz zeta function

DOI10.1007/s00025-019-0976-0zbMath1408.41008arXiv1709.05389OpenAlexW2963828733MaRDI QIDQ667735

Marc Prevost

Publication date: 1 March 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05389

zbMATH Keywords

Padé approximantszeta functionBernoulli numbers

Mathematics Subject Classification ID

Padé approximation (41A21) Simultaneous approximation (41A28) Irrationality; linear independence over a field (11J72)

Related Items (3)

Application of Padé approximation to Euler's constant and Stirling's formula ⋮ New convergent sequences of approximations to Stieltjes' constants ⋮ Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function

Uses Software

• DLMF

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• Bernoulli and Euler numbers and orthogonal polynomials
• Remainder Padé approximants for the exponential function
• A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
• Nombres Exponentiels Et Nombres De Bernoulli
• A Note on the Irrationality of ζ(2) and ζ(3)
• Some Hypergeometric Orthogonal Polynomials
• A Set of Hypergeometric Orthogonal Polynomials

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