Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters

Autor: Amparo Gil, Andrzej Odrzywołek, Javier Segura, Nico M. Temme

Publikováno v: Computer Physics Communications, 2023, 283, 108563

Approximations with Matlab implementations for the relativistic Fermi-Dirac integral and its partial derivatives are given in this paper. As the numerical tests show, the expansions allow to calculate the functions efficiently and with high accuracy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09e72393c3d86fc541e739d2179f248d
https://hdl.handle.net/10902/26903

Complete asymptotic expansions for the relativistic Fermi-Dirac integral

Autor: Javier Segura, Amparo Gil, Nico M. Temme

Publikováno v: Applied Mathematics and Computation Volume 412, 1 January 2022, 126618
UCrea Repositorio Abierto de la Universidad de Cantabria
Universidad de Cantabria (UC)
Applied Mathematics and Computation, 412

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 rel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a3ffe315fada9216871a3e5b3ee588e
http://arxiv.org/abs/2108.11210

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