Complete asymptotic expansions for the relativistic Fermi-Dirac integral

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. (C) 2021 Published by Elsevier Inc.

Automated summary

This paper presents new and complete asymptotic expansions for the relativistic Fermi-Dirac integral, which can be applied in nuclear astrophysics, solid state physics, and semiconductor modeling to help achieve a correct qualitative understanding of Fermi systems. The performance of the expansions is demonstrated through numerical examples.