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Zbl 0830.65013
Osácar, Carlos; Palacián, Jesús; Palacios, Manuel
Numerical evaluation of the dilogarithm of complex argument. (English)
[J] Celest. Mech. Dyn. Astron. 62, No.1, 93-98 (1995). ISSN 0923-2958; ISSN 1572-9478/e

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 $|z|\le 1/2$, the Gaussian quadrature is used with a relative error of $1.8\times 10^{-18}$ at most.
[Y.Kobayashi (Tottori)]

MSC 2000:: *65D20 Computation of special functions
65E05 Numerical methods in complex analysis
70F15 Celestial mechanics
30E10 Approximation in the complex domain

Keywords: convergence acceleration; algorithm; dilogarithmic function; Gaussian quadrature

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