Complete asymptotic expansions for the relativistic Fermi-Dirac integral

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 ex...

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Autores: Gil Gómez, Amparo|||0000-0002-7449-4205, Segura Sala, José Javier|||0000-0002-0841-5636, Temme, N.M.
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/22773
Acceso en línea:http://hdl.handle.net/10902/22773
Access Level:acceso abierto
Palabra clave:Relativistic Fermi-Dirac integral
Asymptotic expansions
Confluent hypergeometric functions
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spelling Complete asymptotic expansions for the relativistic Fermi-Dirac integralGil Gómez, Amparo|||0000-0002-7449-4205Segura Sala, José Javier|||0000-0002-0841-5636Temme, N.M.Relativistic Fermi-Dirac integralAsymptotic expansionsConfluent hypergeometric functionsABSTRACT: 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.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.Elsevier Inc.Universidad de Cantabria20222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/22773Applied Mathematics and Computation Volume 412, 1 January 2022, 126618reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/227732026-06-02T12:39:31Z
dc.title.none.fl_str_mv Complete asymptotic expansions for the relativistic Fermi-Dirac integral
title Complete asymptotic expansions for the relativistic Fermi-Dirac integral
spellingShingle Complete asymptotic expansions for the relativistic Fermi-Dirac integral
Gil Gómez, Amparo|||0000-0002-7449-4205
Relativistic Fermi-Dirac integral
Asymptotic expansions
Confluent hypergeometric functions
title_short Complete asymptotic expansions for the relativistic Fermi-Dirac integral
title_full Complete asymptotic expansions for the relativistic Fermi-Dirac integral
title_fullStr Complete asymptotic expansions for the relativistic Fermi-Dirac integral
title_full_unstemmed Complete asymptotic expansions for the relativistic Fermi-Dirac integral
title_sort Complete asymptotic expansions for the relativistic Fermi-Dirac integral
dc.creator.none.fl_str_mv Gil Gómez, Amparo|||0000-0002-7449-4205
Segura Sala, José Javier|||0000-0002-0841-5636
Temme, N.M.
author Gil Gómez, Amparo|||0000-0002-7449-4205
author_facet Gil Gómez, Amparo|||0000-0002-7449-4205
Segura Sala, José Javier|||0000-0002-0841-5636
Temme, N.M.
author_role author
author2 Segura Sala, José Javier|||0000-0002-0841-5636
Temme, N.M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Relativistic Fermi-Dirac integral
Asymptotic expansions
Confluent hypergeometric functions
topic Relativistic Fermi-Dirac integral
Asymptotic expansions
Confluent hypergeometric functions
description 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.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/22773
url http://hdl.handle.net/10902/22773
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier Inc.
publisher.none.fl_str_mv Elsevier Inc.
dc.source.none.fl_str_mv Applied Mathematics and Computation Volume 412, 1 January 2022, 126618
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420078981709824
score 15,300719

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