Precise and fast computation of inverse Fermi-Dirac integral of order 1/2 by minimax rational function approximation
type: Item
instance of: scholarly article
title: Precise and fast computation of inverse Fermi-Dirac integral of order 1/2 by minimax rational function approximation
zbMATH Open document ID: 1464.65023
author: T. Fukushima
published in: Applied Mathematics and Computation
publication date: 2018-06-07T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 68W25
Mathematics Subject Classification ID: 82D20
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 6881760
zbMATH Keywords: Fermi-Dirac integral
zbMATH Keywords: function approximation
zbMATH Keywords: inverse Fermi-Dirac integral
zbMATH Keywords: minimax approximation
zbMATH Keywords: rational function approximation
describes a project that uses: Mathematica
describes a project that uses: Fermi-Dirac
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.amc.2015.03.015
OpenAlex ID: W1972648206
cites work: Q5395377
cites work: The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
cites work: Q3579593
cites work: Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2
cites work: Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
cites work: Precise and fast computation of Fermi-Dirac integral of integer and half integer order by piecewise minimax rational approximation
cites work: The Electric Conductivity of Simple Semiconductors
cites work: Q3592129
cites work: Double exponential formulas for numerical integration
cites work: Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions
DOI: 10.1016/J.AMC.2015.03.015
description: scientific article; zbMATH DE number 6881760