On the Evaluation of the Fermi-Dirac Integrals

Details On the Evaluation of the Fermi-Dirac Integrals On the Evaluation of the Fermi-Dirac Integrals

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...376..364s&link_type=abstract

Astrophysical Journal v.376, p.364

Astronomy and Astrophysics

Astronomy

3

Numerical Methods

Scientific paper

We illustrate how Gaussian quadratures obtained from the weight functions, w(x) = xk/(ex + 1), for k = -1/2, 1/2, 3/2, 5/2, on the interval [0, ∞], may be used to accurately determine Fermi-Dirac integrals. We give numerical examples and list the recursion coefficients and the 24 point quadrature rule for k = -½.

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