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Numerical evaluation of the dilogarithm of complex argument. (English) Zbl 0830.65013
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|1/2, the Gaussian quadrature is used with a relative error of 1·8×10 -18 at most.
65D20Computation of special functions, construction of tables
65E05Numerical methods in complex analysis
70F15Celestial mechanics
30E10Approximation in the complex domain
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