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

Abstract: 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 for a large range of parameters. Therefore, our algorithms are expected to be a very useful tool, in combination with other methods, for building reliable and efficient software for computing the functions for all the parameters ranges.

 Autoría: Gil A., Odrzywolek A., Segura J., Temme N.M.,

 Fuente: Computer Physics Communications, 2023, 283, 108563

Editorial: Elsevier

 Fecha de publicación: 01/02/2023

Nº de páginas: 9

Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.cpc.2022.108563

ISSN: 0010-4655

 Proyecto español: PGC2018-098279-B-I00

Url de la publicación: https://doi.org/10.1016/j.cpc.2022.108563