Fermi–Dirac integrals
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1—10 of 17 matching pages
1: 25.19 Tables
2: 25.20 Approximations
3: 25.12 Polylogarithms
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►The Fermi–Dirac and Bose–Einstein integrals are defined by
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►For a uniform asymptotic approximation for see Temme and Olde Daalhuis (1990).
25.12.14
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►In terms of polylogarithms
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4: 25.18 Methods of Computation
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►For dilogarithms and polylogarithms see Jacobs and Lambert (1972), Osácar et al. (1995), Spanier and Oldham (1987, pp. 231–232), and Zudilin (2007).
►For Fermi–Dirac and Bose–Einstein integrals see Cloutman (1989), Gautschi (1993), Mohankumar and Natarajan (1997), Natarajan and Mohankumar (1993), Paszkowski (1988, 1991), Pichon (1989), and Sagar (1991a, b).
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5: Bibliography P
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Evaluation of Fermi-Dirac Integral.
In Nonlinear Numerical Methods and Rational Approximation
(Wilrijk, 1987), A. Cuyt (Ed.),
Mathematics and Its Applications, Vol. 43, pp. 435–444.
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Evaluation of the Fermi-Dirac integral of half-integer order.
Zastos. Mat. 21 (2), pp. 289–301.
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Numerical calculation of the generalized Fermi-Dirac integrals.
Comput. Phys. Comm. 55 (2), pp. 127–136.
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6: Bibliography T
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Uniform asymptotic approximation of Fermi-Dirac integrals.
J. Comput. Appl. Math. 31 (3), pp. 383–387.
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High Speed Numerical Integration of Fermi Dirac Integrals.
Master’s Thesis, Naval Postgraduate School, Monterey, CA.
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Rational Chebyshev approximation for the Fermi-Dirac integral
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Solid–State Electronics 41 (5), pp. 771–773.
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7: 25.21 Software
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§25.21(vii) Fermi–Dirac and Bose–Einstein Integrals
…8: Bibliography N
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On the numerical evaluation of the generalised Fermi-Dirac integrals.
Comput. Phys. Comm. 76 (1), pp. 48–50.
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9: Bibliography F
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Generalized Fermi-Dirac integrals—FD, FDG, FDH.
Comput. Phys. Comm. 39 (2), pp. 181–185.
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