Spence's function

From Wikipedia, the free encyclopedia

You have new messages (last change).

There are two related special functions of mathematics that are referred to as Spence's function:

  1. the Dilogarithm.
  2. the Dilogarithm with its argument multiplied by − 1:
F(z) := \operatorname{Li}_2(-z) = \int_0^z{\ln(1+\zeta) \over \zeta}\, \mathrm{d}\zeta = \sum_{k=1}^\infty {(-z)^k \over k^2},

where the series can only be used for | z | < 1, inside its radius of convergence.


 This mathematics-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../s/p/e/Spence%27s_function.html"