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

DOI10.1016/J.CPC.2022.108563MaRDI QIDQ6155945

A. Odrzywolek, Nico M. Temme, Amparo Gil, Javier Segura

Publication date: 7 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsnumerical approximationsgeneralized Fermi-Dirac integralrelativistic Fermi-Dirac integral

Mathematics Subject Classification ID

Computer science (68-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments

Cites Work

• On the evaluation of fermi-Dirac integral and its derivatives by IMT and DE quadrature methods
• On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals
• On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
• On the numerical evaluation of the generalised Fermi-Dirac integrals
• Gaussian integration with rescaling of abscissas and weights
• Complete asymptotic expansions for the relativistic Fermi-Dirac integral
• Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
• An accurate method for the generalized Fermi-Dirac integral

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