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Accurate, short series approximations to Fermi–Dirac integrals of order −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2

1985; American Institute of Physics; Volume: 57; Issue: 12 Linguagem: Inglês

10.1063/1.335269

1520-8850

P. Van Halen, D.L. Pulfrey,

Electromagnetic Scattering and Analysis

Short series approximations based on the classical series expansions of the Fermi-Dirac integrals Fj(x) are presented for the orders −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2. The approximations are accurate to better than 1 part in 105 over the range − ∞ <x< ∞ .