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

DOI10.1145/285861.285862zbMath0917.65017OpenAlexW1999131119WikidataQ113310207 ScholiaQ113310207MaRDI QIDQ4236179

Allan J. MacLeod

Publication date: 22 April 1999

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/285861.285862

zbMATH Keywords

algorithmscollocationChebyshev polynomial expansionsfloating-point arithmeticFermi-Dirac integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20)

Related Items (8)

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ Precise and fast computation of inverse Fermi-Dirac integral of order 1/2 by minimax rational function approximation ⋮ Precise and fast computation of Fermi-Dirac integral of integer and half integer order by piecewise minimax rational approximation ⋮ Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions ⋮ Generalized Scharfetter-Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient ⋮ The application of real convolution for analytically evaluating Fermi-Dirac-type and Bose-Einstein-type integrals ⋮ Fermi-Dirac ⋮ Hyperbolicity in extended thermodynamics of Fermi and Bose gases

Uses Software

• MACHAR

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