Category:Spence's Function

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This category contains results about Spence's Function.


Spence's function, also known as the dilogarithm, is a special case of the polylogarithm, defined for $z \in \C$ by the integral:

$\displaystyle \operatorname {Li}_2 \paren z = -\int_0^z \frac {\Ln \paren {1 - t} } t \rd t$

where:

$\displaystyle \int_0^z$ is an integral across the straight line in the complex plane connecting $0$ and $z$.
$\Ln$ is the principal branch of the complex natural logarithm.

Pages in category "Spence's Function"

The following 2 pages are in this category, out of 2 total.