Polylogarithm Function


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.

Polylog(s, x) = Sum {k = 1, 2, ...}[x^k / k^s],

See: Polylogarithm -- From MathWorld
And: Wolfram Function Evaluation -- PolyLog

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This page accessed times since April 24, 2005.
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Changes last made on Monday, 06-Aug-07 20:47:29 PDT