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.

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doi.org/10.1016/j.amc.2021.126618
Applied Mathematics and Computation
Centrum Wiskunde & Informatica, Amsterdam, The Netherlands

Gil, A, Segura, J, & Temme, N.M. (2022). Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Applied Mathematics and Computation, 412. doi:10.1016/j.amc.2021.126618