Category:Polygamma Reflection Formula

This category contains pages concerning Polygamma Reflection Formula:

Let $z \in \C \setminus \Z$.

Let $\psi_n$ denote the $n$th polygamma function.

Then:

$\map {\psi_n} z - \paren {-1}^n \map {\psi_n} {1 - z} = -\pi \dfrac {\d^n} {\d z^n} \cot \pi z$