Variable Precision Algorithm for the Numerical Computation of the Fermi-Dirac Function {\cal F}j(x) of Order j=−3/2

  • Authors:

  • F. G. Lether

  • Affiliations:

  • Mathematics Department, Boyd Graduate Research Center, University of Georgia, Athens, Georgia 30602-7403. fglether@math.uga.edu

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2001

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Abstract

The purpose of this technical note is to present a piecewise Chebyshev expansion for the numerical computation of the Fermi–Dirac function {\cal F}−3/2(x), −∞x{\cal F}−3/2(x) can be efficiently computed to d significant decimal digits of accuracy, for a user specified value of d in the range 1⩽d⩽15.