Revision as of 19:22, 3 June 2016 by Tom(talk | contribs)(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\psi^{(m)}(z)=-\displa...")
Theorem: The following formula holds:
$$\psi^{(m)}(z)=-\displaystyle\int_0^1 \dfrac{t^{z-1}}{1-t} \log^m(t) \mathrm{d}t,$$
where $\psi^{(m)}$ denotes the polygamma and $\log$ denotes the logarithm.