Integrals of polylogarithmic functions with negative argument-Reference-Cited by-同舟云学术

Integrals of polylogarithmic functions with negative argument

Published:2018-12-01 Issue:2 Volume:10 Page:347-367
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Sofo Anthony¹

Affiliation:

1. Victoria University , Australia

Abstract

Abstract The connection between polylogarithmic functions and Euler sums is well known. In this paper we explore the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider mainly, polylogarithmic functions with negative arguments, thereby producing new results and extending the work of Freitas. Many examples of integrals of products of polylogarithmic functions in terms of Riemann zeta values and Dirichlet values will be given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2018-0027

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