Dilogarithm Function

Here are some notes from my program XPCalc - Extra Precision Floating-Point Calculator http://www.oocities.org/hjsmithh/download.html#XPCalc :

Dilog(x) = Dilogarithm(x):

The Dilogarithm(x) function is equal to polylogarithm(2, x) which is equal to x * LerchPhi(x, 2, 1). See the Polylog(s, x) and Lerch(x, s, a) functions.

where |x| <= 1. The real function is defined for all x <= 1.

When x < −1, Dilog(1−y) + Dilog(1−1/y) = −(Ln(y))^2 / 2 is used in the form

Dilog(x) = −Dilog(1−y) − (Ln(y))^2 / 2, where x = 1−1/y, y = 1/(1−x).

And: Wolfram Function Evaluation -- PolyLog2

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This page accessed times since April 24, 2005.
Page created by: hjsmithh@sbcglobal.net
Changes last made on Monday, 06-Aug-07 20:52:33 PDT

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