A family of polylogarithmic integrals

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 re...

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Hauptverfasser: Sofo, Anthony, Pain, Jean-Christophe, Scharaschkin, Victor
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2412.02031