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A family of polylogarithmic integrals

  • Anthony Sofo ORCID logo , Jean-Christophe Pain ORCID logo EMAIL logo and Victor Scharaschkin
Published/Copyright: January 13, 2025

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.

MSC 2020: 44A20

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Received: 2024-08-08
Revised: 2024-11-07
Accepted: 2024-11-10
Published Online: 2025-01-13

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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