Simultaneous Padé approximants to the Euler, exponential and logarithmic functions
type: Item
instance of: scholarly article
title: Simultaneous Padé approximants to the Euler, exponential and logarithmic functions
zbMATH Open document ID: 1326.41025
author: T. Rivoal
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2015-11-04T00:00:00Z
full work available at URL: http://www.numdam.org/item
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 11J72
zbMATH DE Number: 6504493
zbMATH Keywords: Padé approximants
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: hypergeometric series
MaRDI profile type: Publication
OpenAlex ID: W2782611996
cites work: Q3859868
cites work: Multiple orthogonal polynomials for classical weights
cites work: Q3591062
cites work: A Note on the Irrationality of ζ(2) and ζ(3)
cites work: Legendre polynomials in irrationality proofs
cites work: Q3663376
cites work: Q4170993
cites work: Padé approximations to the generalized hypergeometric functions. I
cites work: Q3209144
cites work: Q3858722
cites work: Padé approximants and balanced hypergeometric series.
cites work: On the linear independence of the values of polylogarithmic functions
cites work: Constructible sets of linear differential equations and effective rational approximations of polylogarithmic functions
cites work: Asymptotic zero behavior of Laguerre polynomials with negative parameter
cites work: Applications of some formulae by Hermite to the approximation of exponentials and logarithms
cites work: Type II Hermite-Padé approximations of generalized hypergeometric series
cites work: HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
cites work: On a permutation group related to ζ(2)
cites work: Rational approximations for values of derivatives of the Gamma function
cites work: On the arithmetic nature of the values of the gamma function, Euler's constant, and Gompertz's constant
cites work: On the zeros and poles of Padè approximants to \(e^z\). III
cites work: Q5508372
cites work: Joint approximations of the square root, logarithm, and arcsine functions
cites work: Q3412517
cites work: Q4338234
DOI: 10.5802/JTNB.914
description: scientific article; zbMATH DE number 6504493