Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions
type: Item
instance of: scholarly article
title: Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions
zbMATH Open document ID: 1305.82058
author: T. Fukushima
published in: Applied Mathematics and Computation
publication date: 2014-11-13T00:00:00Z
Mathematics Subject Classification ID: 82D20
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 6369163
zbMATH Keywords: Fermi-Dirac integral
zbMATH Keywords: generalized Fermi-Dirac integral
zbMATH Keywords: Riemann zeta function
zbMATH Keywords: Sommerfeld expansion
describes a project that uses: Fermi-Dirac
describes a project that uses: QUADPACK
describes a project that uses: Mathematica
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.amc.2014.02.053
OpenAlex ID: W2145953004
cites work: Q5395377
cites work: Q3082536
cites work: Q5775739
cites work: Gaussian integration with rescaling of abscissas and weights
cites work: Q3592129
cites work: Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2
cites work: Q3579593
cites work: Fermi-Dirac functions of integral order
cites work: A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals
cites work: On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
cites work: On the numerical evaluation of the generalised Fermi-Dirac integrals
cites work: An accurate method for the generalized Fermi-Dirac integral
cites work: Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
cites work: Q4746719
cites work: An IMT-type quadrature formula with the same asymptotic performance as the DE formula
cites work: Double exponential formulas for numerical integration
cites work: The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
DOI: 10.1016/J.AMC.2014.02.053
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description: scientific article; zbMATH DE number 6369163