The Dilogarithm function of a real argument [S22]

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Abstract
The dilogarithm function [1-3], defined by Li 2 ( x ) = - ∫ x 0 (1/ z ) ln (1 - z ) dz , (1) occurs in several different applications in physics and engineering, ranging from quantum electrodynamics, to network analysis, to the thermodynamics of ideal ferromagnets, to the structure of polymers. A new function subroutine is developed which computes the dilogarithm function of a real argument to an accuracy of a few parts in 10 15 . This program was designed to be included in the usual package of library subprograms relied upon by most users. It employs an alternative computational approach to a previously published algorithm [4].
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