Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2

Authors:
Allan J. MacLeod
Affiliations:
Univ. of Paisley, Paisley, Scotland, UK
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1998

Citing 6
Cited 2

Algorithm 665: Machar: a subroutine to dynamically determined machine parameters

ACM Transactions on Mathematical Software (TOMS)
Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral

ACM Transactions on Mathematical Software (TOMS)
A Fortran Multiple-Precision Arithmetic Package

ACM Transactions on Mathematical Software (TOMS)
Computer Approximations

Computer Approximations
Portable Special Function Routines

Portability of Numerical Software, Workshop
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Analytical Expansion and Numerical Approximation of the Fermi-Dirac Integrals {\cal F}j(x) of Order j=−1/2 and j=1/2

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

Journal of Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

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