Families of log Legendre Chi function integrals
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Published:2021
Issue:00
Volume:
Page:21-21
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ISSN:1452-8630
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Container-title:Applicable Analysis and Discrete Mathematics
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language:en
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Short-container-title:APPL ANAL DISCRETE M
Affiliation:
1. Victoria University, Melbourne, Australia
Abstract
In this paper we investigate the representation of integrals involving the
product of the Legendre Chi function, polylogarithm function and log
function. We will show that in many cases these integrals take an explicit
form involving the Riemann zeta function, the Dirichlet Eta function,
Dirichlet lambda function and many other special functions. Some examples
illustrating the theorems will be detailed.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis