Category:Integral Form of Polygamma Function

This category contains pages concerning Integral Form of Polygamma Function:

Let $z$ be a complex number with a positive real part.

Then:

$\ds \map {\psi_n} z = \paren {-1}^{n + 1} \int_0^\infty \frac {t^n e^{-z t} } {1 - e^{-t} } \rd t$

where $\map {\psi_n} z$ denotes the $n$th polygamma function.