Revision as of 19:29, 3 June 2016 by Tom(talk | contribs)(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\psi^{(m)}(z)=(-1)^{m+1} m! \...")
Theorem: The following formula holds:
$$\psi^{(m)}(z)=(-1)^{m+1} m! \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{(z+k)^{m+1}},$$
where $\psi^{(m)}$ denotes the polygamma and $m!$ denotes the factorial.
