The Dilogarithm function of a real argument [S22]

The dilogarithm function [1-3], defined by Li2(x) = - ∫x0 (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 1015. 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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