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Title:
Rational Function Approximations for Fermi-Dirac Integrals
Authors:
Antia, H. M.
Publication:
Astrophysical Journal Supplement v.84, p.101 (ApJS Homepage)
Publication Date:
01/1993
Origin:
APJ; KNUDSEN
Astronomy Keywords:
atomic processes, methods: analytical
DOI:
10.1086/191748
Bibliographic Code:
1993ApJS...84..101A

Abstract

Rational function minimax approximations are given for the complete Fermi-Dirac integrals of orders -½, ½, 3/2, and 5/2. In each case, three sets of approximations are provided with maximum relative error ≈ l0-4, 10-8, and 10-12, respectively. These approximations can be used to compute the Fermi-Dirac integrals efficiently over the entire range. Approximations to the corresponding inverse functions with an accuracy of ≈l0-4 and 10-8 are also obtained.

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Database: Astronomy
Physics
arXiv e-prints