@article{10902/22773, year = {2022}, month = {1}, url = {http://hdl.handle.net/10902/22773}, abstract = {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.}, organization = {We acknowledge nancial support from Ministerio de Ciencia e Innovacion, Spain, project PGC2018-098279-B-I00 (MCIU/AEI/FEDER, UE). NMT thanks CWI for scienti c support.}, publisher = {Elsevier Inc.}, publisher = {Applied Mathematics and Computation Volume 412, 1 January 2022, 126618}, title = {Complete asymptotic expansions for the relativistic Fermi-Dirac integral}, author = {Gil Gómez, Amparo and Segura Sala, José Javier and Temme, N.M.}, }