Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral

  • Authors:
  • Michele Goano

  • Affiliations:
  • Politecnico di Torino, Turin, Italy

  • Venue:
  • ACM Transactions on Mathematical Software (TOMS)
  • Year:
  • 1995

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Abstract

Portable Fortran subroutines computing the Fermi-Dirac integral Fjx and the incomplete Fermi-Dirac integral Fjx,b are presented. For the first time a set of series expansions is implemented allowing these special functions to be evaluated efficiently within a prescribed accuracy for real jand x.