Revision as of 19:24, 3 June 2016 by Tom(talk | contribs)(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\psi^{(m)}(z+1)=\psi^{(m)}(z)+\...")
Theorem: The following formula holds:
$$\psi^{(m)}(z+1)=\psi^{(m)}(z)+\dfrac{(-1)^mm!}{z^{m+1}},$$
where $\psi^{(m)}$ denotes the polygamma and $m!$ denotes the factorial.