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

Portable Fortran subroutines computing the Fermi-Dirac integral <inline-equation> <f> <sc>F</sc><inf>j</inf><fen lp="par">x<rp post="par"></fen></f> </inline-equation> and the incomplete Fermi-Dirac integral <inline-equation> <f> <sc>F</sc><inf>j</inf><fen lp="par">x,b<rp post="par"></fen></f> </inline-equation> 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 <?Pub Fmt italic>j<?Pub Fmt /italic>and <?Pub Fmt italic>x<?Pub Fmt /italic>.

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