Complete asymptotic expansions for the relativistic Fermi-Dirac integral
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Publication:2246075
DOI10.1016/j.amc.2021.126618OpenAlexW3199874380MaRDI QIDQ2246075
Nico M. Temme, Javier Segura, Amparo Gil
Publication date: 15 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11210
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Other special functions (33Exx)
Related Items (2)
Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments ⋮ Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters
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Cites Work
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- Complete asymptotic expansions of the Fermi–Dirac integrals Fp(η)=1/Γ(p+1)∫∞[εp/(1+eε−η)dε]
- The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
- Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
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