Two new series for the Fermi-Dirac integral

DOI10.1016/j.cpc.2007.03.002zbMath1196.81071OpenAlexW2086002118MaRDI QIDQ710033

N. Mohan Kumar

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.03.002

zbMATH Keywords

Fermi-Dirac integralMittag-Leffler expansionshanks transformation

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08)

Related Items

On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals ⋮ InvFD, an OCTAVE routine for the numerical inversion of the Fermi-Dirac integral ⋮ The application of real convolution for analytically evaluating Fermi-Dirac-type and Bose-Einstein-type integrals

Cites Work

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• The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
• Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
• Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
• Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
• An accurate method for the generalized Fermi-Dirac integral

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