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

Gil Gómez, Amparo; Odrzywolek, Andrzej; Segura Sala, José Javier; Temme, Nico M.

doi:10.1016/j.cpc.2025.109605

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Identificadores

URI: https://hdl.handle.net/10902/36385

DOI: 10.1016/j.cpc.2025.109605

ISSN: 0010-4655

Fecha

2025-04

Derechos

Publicado en

Computer Physics Communications, 2025, 312, 109605

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.cpc.2025.109605

Resumen/Abstract

A revised version of the Matlab implementations of the expansions for the Fermi-Dirac integral and its derivatives is presented. In the new version, our functions for computing the Kummer functions M(a,b,x) and U(a,b,x) are incorporated into the software. The algorithms for computing the Kummer functions are described in [1,2]. In this way, the implementations of the expansions for the Fermi-Dirac integral can be used in earlier Matlab versions and can be easily adapted to GNU Octave. The efficiency of the computations is also greatly improved.

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© 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/)

Excepto si se señala otra cosa, la licencia del ítem se describe como © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/)