Balanced polygamma function: Difference between revisions

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* <math>\zeta(z,q)=\frac{\Gamma (1-z) \left(2^{-z} \left(\psi \left(z-1,\frac{q}{2}+\frac{1}{2}\right)+\psi \left(z-1,\frac{q}{2}\right)\right)-\psi(z-1,q)\right)}{\ln(2)}</math>
 
:where <math>\zeta(z,q),</math> is the [[Hurwitz Zeta function]]