Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
type: Item
instance of: scholarly article
title: Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
zbMATH Open document ID: 1086.33019
DOI: 10.1090/S0025-5718-05-01747-3
author: Pedro Freitas
published in: Mathematics of Computation
publication date: 2005-04-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0406401
Mathematics Subject Classification ID: 33E20
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 2161918
zbMATH Keywords: integrals
zbMATH Keywords: polylogarithmic functions
zbMATH Keywords: recurrence relations
zbMATH Keywords: Euler sums
MaRDI profile type: Publication
arXiv ID: math/0406401
cites work: A Definite Integral of a Product of Two Polylogarithms
cites work: A new method for investigating Euler sums
cites work: On an Intriguing Integral and Some Series Related to ζ(4)
cites work: Explicit evaluation of Euler sums
cites work: Hypergeometric series and the Riemann zeta function
cites work: On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
cites work: Euler Sums and Contour Integral Representations
cites work: Q3934795
cites work: Q3671491
cites work: Q3916824
cites work: Series associated with the zeta and related functions
cites work: Q4324348
OpenAlex ID: W1973881279
Recommended article: Euler sums and integrals of polylogarithm functions
Recommended article: Log-sine-polylog integrals and alternating Euler sums
Recommended article: POLYLOGARITHMIC CONNECTIONS WITH EULER SUMS
Recommended article: Integrals of polylogarithms and infinite series involving generalized harmonic numbers
Recommended article: Q3550121
Recommended article: Integrals of polylogarithmic functions with alternating argument
Recommended article: Logarithmic integrals with applications to BBP and Euler-type sums
Recommended article: Q4997071
Recommended article: Explicit evaluation of some integrals involving polylogarithm functions
Recommended article: Log-hyperbolic tangent integrals and Euler sums
description: scientific article; zbMATH DE number 2161918