Difference between revisions of "Relation between polygamma and Hurwitz zeta"
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Revision as of 19:34, 3 June 2016
Theorem: The following formula holds: $$\psi^{(m)}(z)=(-1)^{m+1} m! \zeta(m+1,z),$$ where $\psi^{(m)}$ denotes the polygamma and $\zeta$ denotes the Hurwitz zeta function.
Proof: █
