Precision approximations for Fermi-Dirac functions of integer index (Q2821488)

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scientific article; zbMATH DE number 6629004
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Precision approximations for Fermi-Dirac functions of integer index
scientific article; zbMATH DE number 6629004

    Statements

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    21 September 2016
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    electromagnetic theory
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    electrostatics
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    magnetostatics
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    motion of charged particles
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    approximation by polynomials
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    trigonometric approximation
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    best approximation
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    Chebyshev systems
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    Precision approximations for Fermi-Dirac functions of integer index (English)
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    The Fermi-Dirac distribution functions are the universal mathematical tool for statistical and probabilistic investigations of deterministic and stochastic systems. A simple approximation algorithm for quick and exact calculations of the values of the Fermi-Dirac functions of integer order is proposed. The application of the functions to problems of electron transfer in a dense medium is discussed.
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