Balanced polygamma function: Difference between revisions

Revision as of 20:06, 31 January 2022

Revision as of 11:34, 17 September 2023

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: <math>\psi(z,q)=e^{- \gamma z}\frac{\partial}{\partial z}\left(e^{\gamma z}\frac{\zeta(z+1,q)}{\Gamma(-z)}\right),</math>

where {{math|''ψ''(''z'')}} is the [[Polygammapolygamma function]] and {{math|''ζ''(''z'',''q'')}}, is the [[Hurwitz zeta function]].

The function is balanced, in that it satisfies the conditions