Families of log Legendre Chi function integrals
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Sofo, Anthony A 
ORCID: https://orcid.org/0000-0002-1277-8296
(2024)
Families of log Legendre Chi function integrals.
Applicable Analysis and Discrete Mathematics, 18 (1).
pp. 1-27.
ISSN 1452-8630
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.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/50004 |
| DOI | 10.2298/AADM200506021S |
| Official URL | https://doi.org/10.2298/aadm200506021s |
| Subjects | Current > FOR (2020) Classification > 4904 Pure mathematics Current > Division/Research > Institute for Health and Sport |
| Keywords | Legendre Chi function; Polylogarithm function; Euler sum; Dirichlet Lambda function; Dirichlet Beta function |
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