Approximations for the Fermi-Dirac integrals Fj(x)

Muhammad Taher Abuelma'atti

doi:10.1016/0038-1101(94)90193-7

Approximations for the Fermi-Dirac integrals F_j(x)

Muhammad Taher Abuelma'atti^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

An algorithm is presented for obtaining approximations for the Fermi-Dirac integrals F_j(x) for any real value of j and x. The parameters of these approximations, which use a common Fourier-series for all F_j(x), can be easily obtained using simple calculations. The accuracy of the resulting approximations is arbitrary and the approximations can be easily integrated and differentiated for further mathematical processing.

Original language	English
Pages (from-to)	1367-1369
Number of pages	3
Journal	Solid-State Electronics
Volume	37
Issue number	7
DOIs	https://doi.org/10.1016/0038-1101(94)90193-7
State	Published - Jul 1994

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering
Materials Chemistry

Access to Document

10.1016/0038-1101(94)90193-7

Cite this

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title = "Approximations for the Fermi-Dirac integrals Fj(x)",

abstract = "An algorithm is presented for obtaining approximations for the Fermi-Dirac integrals Fj(x) for any real value of j and x. The parameters of these approximations, which use a common Fourier-series for all Fj(x), can be easily obtained using simple calculations. The accuracy of the resulting approximations is arbitrary and the approximations can be easily integrated and differentiated for further mathematical processing.",

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AU - Taher Abuelma'atti, Muhammad

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N2 - An algorithm is presented for obtaining approximations for the Fermi-Dirac integrals Fj(x) for any real value of j and x. The parameters of these approximations, which use a common Fourier-series for all Fj(x), can be easily obtained using simple calculations. The accuracy of the resulting approximations is arbitrary and the approximations can be easily integrated and differentiated for further mathematical processing.

AB - An algorithm is presented for obtaining approximations for the Fermi-Dirac integrals Fj(x) for any real value of j and x. The parameters of these approximations, which use a common Fourier-series for all Fj(x), can be easily obtained using simple calculations. The accuracy of the resulting approximations is arbitrary and the approximations can be easily integrated and differentiated for further mathematical processing.

UR - https://www.scopus.com/pages/publications/0028470807

U2 - 10.1016/0038-1101(94)90193-7

DO - 10.1016/0038-1101(94)90193-7

M3 - Article

AN - SCOPUS:0028470807

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VL - 37

SP - 1367

EP - 1369

JO - Solid-State Electronics

JF - Solid-State Electronics

IS - 7