Algorithm 779: Fermi-Dirac Functions of Order -1/2, 1/2, 3/2, 5/2

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Abstract

The computation of Fermi-Dirac integrals ℱk is discussed for the values k = -1, 1/2, 3/2, 5/2. We derive Chebyshev polynomial expansions which allow the computation of these functions to double precision IEEE accuracy.

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Macleod, A. J. (1998). Algorithm 779: Fermi-Dirac Functions of Order -1/2, 1/2, 3/2, 5/2. ACM Transactions on Mathematical Software, 24(1), 1–12. https://doi.org/10.1145/285861.285862

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