Integrals of polylogarithmic functions with negative argument

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Sofo, Anthony ORCID: 0000-0002-1277-8296 (2019) Integrals of polylogarithmic functions with negative argument. Mathematica, 10 (2). pp. 347-367. ISSN 1844-6094

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/45960
DOI 10.2478/ausm-2018-0027
Official URL https://sciendo.com/article/10.2478/ausm-2018-0027
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords polylogarithmic functions, negative argument, mathematics, maths, applied mathematics
Citations in Scopus 4 - View on Scopus
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