Uniform asymptotic approximation of Fermi-Dirac integrals

DOI10.1016/0377-0427(90)90038-2zbMath0707.65008OpenAlexW2076302560MaRDI QIDQ919736

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90038-2

zbMATH Keywords

incomplete gamma functionasymptotic expansionsaddle point methodFermi-Dirac integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (5)

Uniform asymptotic expansions of integrals: A selection of problems ⋮ Operator representation of fermi-Dirac and Bose-Einstein integral functions with applications ⋮ Asymptotic expansions for generalized gamma and incomplete gamma functions ⋮ Complete asymptotic expansions for the relativistic Fermi-Dirac integral ⋮ Fourier transform representation of the extended Fermi–Dirac and Bose–Einstein functions with applications to the family of the zeta and related functions

Cites Work

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• Über das asymptotische Verhalten des Fermi-Dirac-Integrals. (On the asymptotical behaviour of the Fermi-Dirac integral)
• Zur Abschätzung des Restgliedes in der asymptotischen Entwicklung des Exponentialintegrals
• A class of non-orthogonal polynomials related to those of Laguerre
• UNIFORM ASYMPTOTIC EXPANSIONS OF LAPLACE INTEGRALS
• The Asymptotic Expansion of the Incomplete Gamma Functions

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