Complete asymptotic expansions for the relativistic Fermi-Dirac integral

A. Gil, J. Segura and N.M. Temme

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In this paper, we give new and complete asymptotic expansions for the relativistic Fermi-Dirac integral. These expansions could be useful to obtain a correct qualitative understanding of Fermi systems. The performance of the expansions is illustrated with numerical examples.

Keywords: Relativistic Fermi-Dirac integral; Asymptotic expansions; Confluent hypergeometric functions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321007025

DOI: 10.1016/j.amc.2021.126618

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