Complete asymptotic expansions for the relativistic Fermi-Dirac integral

作者：

Highlights：

• 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.

摘要

•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.

论文关键词：Relativistic Fermi-Dirac integral,Asymptotic expansions,Confluent hypergeometric functions

论文评审过程：Received 26 April 2021, Revised 9 July 2021, Accepted 16 August 2021, Available online 16 September 2021, Version of Record 16 September 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126618