Difference between revisions of "Polygamma"

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[[Digamma function]]<br />
 
[[Digamma function]]<br />
 
[[Trigamma function]]<br />
 
[[Trigamma function]]<br />
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[[Category:SpecialFunction]]

Revision as of 18:28, 24 May 2016

The polygamma function of order $m$, $\psi^{(m)}(z)$, is defined by the formula $$\psi^{(m)}(z) = \dfrac{d^m}{dz^m} \log \Gamma(z),$$ where $\log$ denotes the logarithm and $\Gamma$ denotes the gamma function.

See Also

Digamma function
Trigamma function