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Mathematics of Computation

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Rational Chebyshev approximations for Fermi-Dirac integrals of orders $ -1/2$, $ 1/2$ and $ 3/2$


Authors: W. J. Cody and Henry C. Thacher, Jr.
Journal: Math. Comp. 21 (1967), 30-40
Corrigendum: Math. Comp. 21 (1967), 525.
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Abstract: Rational Chebyshev approximations are given for the complete Fermi-Dirac integrals of orders $ - \frac{1} {2}$ $ \frac{1} {2}$ and $ \frac{3} {2}$. Maximal relative errors vary with the function and interval considered, but generally range down to $ {10^{ - 9}}$ or less.


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DOI: https://doi.org/10.1090/S0025-5718-67-99899-7
Article copyright: © Copyright 1967 American Mathematical Society