Category:Spence's Function

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This category contains results about Spence's Function.
Definitions specific to this category can be found in Definitions/Spence's Function.

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

$\ds \map {\Li_2} z = -\int_0^z \frac {\map \Ln {1 - t} } t \rd t$

where:

$\ds \int_0^z$ 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.