Here are some notes from my program XPCalc - Extra Precision Floating-Point Calculator http://www.oocities.org/hjsmithh/download.html#XPCalc :
Polylog(s, x) = Polylogarithm(s, x):
The Polylog(s, x) function is equal to x * Lerch(x, s, 1). See the Lerch Transcendent Phi Function Lerch(x, s, a). When s = 2, this is the Dilog(x) function.
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