Balanced polygamma function: Difference between revisions

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* <math>B_n(q) = -\frac{n \Gamma (n+1) \left(2^{n-1} \left(\psi\left(-n,\frac{q}{2}+\frac{1}{2}\right)+\psi\left(-n,\frac{q}{2}\right)\right)-\psi(-n,q)\right)}{\ln (2)}</math>
 
:where <math>B_n(q)</math> are [[Bernoulli polynomials]]