A family of polylogarithmic integrals
Classical Analysis and ODEs
2024-12-04 v1 Mathematical Physics
math.MP
Abstract
In this paper we investigate a class of integrals that were encountered in the course of a work on statistical plasma physics, in the so-called Sommerfeld temperature-expansion of the electronic entropy. We show that such integrals, involving some parameters, can be fully described in closed form represented by special functions.
Cite
@article{arxiv.2412.02031,
title = {A family of polylogarithmic integrals},
author = {Anthony Sofo and Jean-Christophe Pain and Victor Scharaschkin},
journal= {arXiv preprint arXiv:2412.02031},
year = {2024}
}