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 8 articles , 1 standard article )

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  1. Selvaggi, Jerry P.; Selvaggi, Jerry A.: The application of real convolution for analytically evaluating Fermi-Dirac-type and Bose-Einstein-type integrals (2018)
  2. Fukushima, Toshio: Precise and fast computation of inverse Fermi-Dirac integral of order 1/2 by minimax rational function approximation (2015)
  3. Fukushima, Toshio: Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions (2014)
  4. Fukushima, Toshio: Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method (2014)
  5. Ruggeri, T.; Trovato, M.: Hyperbolicity in extended thermodynamics of Fermi and Bose gases (2004)
  6. Lether, Frank G.: Analytical expansion and numerical approximation of the Fermi-Dirac integrals (\mathcalF_j(x)) of order (j=-1/2) and (j=1/2) (2000)
  7. MacLeod, Allan J.: Algorithm 779: Fermi-Dirac functions of order (-)1/2, 1/2, 3/2, 5/2. (1998) ioport
  8. MacLeod, Allan J.: Algorithm 779: Fermi-Dirac functions of order (-1/2), (1/2), (3/2), (5/2) (1998)