Balanced polygamma function: Difference between revisions

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* <math>K(z)=\exp\left(\frac{z-z^2}{2}-\psi(-2,z)\right)-\ln A</math>
 
:where K(z) is [[K-function]] ana A is [[Glaisher constant]]. It 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}\left(\psi(-1,1/2)-\frac 12\ln(2\pi)\right)}.</math>
 
==References==