Fermi-Dirac

Algorithm 779: Fermi-Dirac Functions of Order –1/2, 1/2, 3/2, 5/2: The computation of Fermi-Dirac integrals ℱ k is discussed for the values k=-1/2,1/2,3/2,5/2. We derive Chebyshev polynomial expansions which allow the computation of these functions to double precision IEEE accuracy. (Source: http://dl.acm.org/)

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References in zbMATH (referenced in 6 articles , 1 standard article )

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  1. Fukushima, Toshio: Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions (2014)
  2. Fukushima, Toshio: Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method (2014)
  3. Ruggeri, T.; Trovato, M.: Hyperbolicity in extended thermodynamics of Fermi and Bose gases (2004)
  4. Lether, Frank G.: Analytical expansion and numerical approximation of the Fermi-Dirac integrals $\cal F_j(x)$ of order $j=-1/2$ and $j=1/2$ (2000)
  5. MacLeod, Allan J.: Algorithm 779: Fermi-Dirac functions of order $-$1/2, 1/2, 3/2, 5/2. (1998) ioport
  6. MacLeod, Allan J.: Algorithm 779: Fermi-Dirac functions of order $-1/2$, $1/2$, $3/2$, $5/2$ (1998)