Balanced polygamma function: Difference between revisions

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* <math>K(z)=\frac {e^{\frac{z-z^2}{2}-\psi(-2,z)}}A</math>
 
:where ''K''(''z'') is [[K-function]] ana A is [[Glaisher constant]], which itself can be expressed in terms of generalized polygamma function:
 
*<math>A =\frac{\sqrt[36]{128{\pi}^{30}}}{\pi}e^{\frac{1}{3}+\frac{2}{3}\psi(-1,\frac 12)-\frac 13\ln(2\pi)}</math>