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Numerical evaluation of the dilogarithm of complex argument - MaRDI portal

Numerical evaluation of the dilogarithm of complex argument (Q1898012)

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scientific article; zbMATH DE number 798825
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Numerical evaluation of the dilogarithm of complex argument
scientific article; zbMATH DE number 798825

    Statements

    Numerical evaluation of the dilogarithm of complex argument (English)
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    4 February 1996
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    An algorithm for evaluating the dilogarithmic function of a complex argument is proposed. In this proposal, three approximations are provided according to the different regions of the complex plane. For the arguments \(|z|\leq 1/2\), the Gaussian quadrature is used with a relative error of \(1.8\times 10^{-18}\) at most.
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    convergence acceleration
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    algorithm
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    dilogarithmic function
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    Gaussian quadrature
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