Complete Fermi–Dirac integral
id:
complete-fermi-dirac-integral-285-9915740
title:
Complete Fermi–Dirac integral
text:
In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j is defined by This equals where Li s is the polylogarithm. Its derivative is and this derivative relationship is used to define the Fermi-Dirac integral for nonpositive indices j. Differing notation for F j appears in the literature, for instance some authors omit the factor 1 / Γ . The definition used here matches that in the NIST DLMF.
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical integral
original url:
https://en.wikipedia.org/wiki/Complete_Fermi%E2%80%93Dirac_integral
date created:
date modified:
2022-12-19T02:39:50Z
main entity:
{"identifier":"Q167476","url":"https://www.wikidata.org/entity/Q167476"}
image:
fields total:
13
integrity:
14