Complete asymptotic expansions for the relativistic Fermi-Dirac integral

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URI: http://hdl.handle.net/10902/22773
ISSN: 0096-3003
ISSN: 1873-5649
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Autoría
Gil Gómez, AmparoAutoridad Unican; Segura Sala, José JavierAutoridad Unican; Temme, N.M.
Fecha
2022-01
Derechos
© 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publicado en
Applied Mathematics and Computation Volume 412, 1 January 2022, 126618
Editorial
Elsevier Inc.
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Palabras clave
Relativistic Fermi-Dirac integral
Asymptotic expansions
Confluent hypergeometric functions
Resumen/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.
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© 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseExcepto si se señala otra cosa, la licencia del ítem se describe como © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license