Balanced polygamma function: Difference between revisions

Revision as of 12:38, 4 March 2012

Revision as of 05:26, 8 March 2012

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* <math>K(z)=A e^{\psi(-2,z)+\frac{z^2-z}{2}}</math>

:where ''K''(''z'') is [[K-function]] and 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(-2,\frac 12)-\frac 13\ln(2\pi)}</math>

==References==