The application of real convolution for analytically evaluating Fermi-Dirac-type and Bose-Einstein-type integrals
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Publication:1785620
DOI10.1155/2018/5941485zbMath1400.44006OpenAlexW2801054604MaRDI QIDQ1785620
Jerry P. Selvaggi, Jerry A. Selvaggi
Publication date: 1 October 2018
Published in: Journal of Complex Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/5941485
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Cites Work
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- Two new series for the Fermi-Dirac integral
- The functions erf and erfc computed with arbitrary precision and explicit error bounds
- Operator representation of fermi-Dirac and Bose-Einstein integral functions with applications
- Precise and fast computation of inverse Fermi-Dirac integral of order 1/2 by minimax rational function approximation
- On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals
- Complete asymptotic expansions of the Fermi–Dirac integrals Fp(η)=1/Γ(p+1)∫∞[εp/(1+eε−η)dε]
- The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
- The Bose-Einstein integrals $$\mathcal{B}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } - 1} )^{ - 1} d\varepsilon $$
- Asymptotic Expansion of a Class of Fermi–Dirac Integrals
- Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2
- Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
- New integral representations of the polylogarithm function
- Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
- Chebyshev Polynomial Expansion of Bose-Einstein Functions of Orders 1 to 10
- The computation of Fermi-Dirac functions
- On Bose-Einstein Functions
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