Formula:2870

Digital Library of Mathematical Functions ID 5.15.E3

${\displaystyle{\displaystyle\psi^{(n)}\left(\tfrac{1}{2}\right)=(-1)^{n+1}n!(2^{n+1}-1)\zeta\left(n+1\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\psi^{(\NVar{n})}\left(\NVar{z}\right)}}$: polygamma functions
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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