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Zbl 0855.65012
Natarajan, A.; Kumar, N.Mohan
On the numerical evaluation of the generalised Fermi-Dirac integrals. (English)
[J] Comput. Phys. Commun. 76, No.1, 48-50 (1993). ISSN 0010-4655

Summary: In recent papers, {\it B. Pichon} [Comput. Phys. Commun. 55, 127 (1989)] and later on {\it R. P. Sagar} [ibid. 66, 271 (1991)] have dealt with the problem of computing the generalised Fermi-Dirac integrals. Both suggest Gauss-type quadratures differing only with respect to the form of the weight function used. This paper investigates the possibility of using the simple trapezoidal rule. By a suitable transformation of the variable of integration, it is possible to obtain high accuracies over the entire range of the physical parameters of interest.

MSC 2000:: *65D20 Computation of special functions
65D32 Quadrature formulas (numerical methods)
85A04 General topics of astronomy and astrophysics
33E20 Functions defined by series and integrals
41A55 Approximate quadratures

Keywords: astrophysical problems; generalised Fermi-Dirac integrals; Gauss-type quadratures; trapezoidal rule

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