Difference between revisions of "Polygamma"
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$$\psi^{(m)}(z) = \dfrac{d^m}{dz^m} \log \Gamma(z),$$ | $$\psi^{(m)}(z) = \dfrac{d^m}{dz^m} \log \Gamma(z),$$ | ||
where $\log$ denotes the [[logarithm]] and $\Gamma$ denotes the [[gamma function]]. | where $\log$ denotes the [[logarithm]] and $\Gamma$ denotes the [[gamma function]]. | ||
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| + | =See Also= | ||
| + | [[Digamma function]]<br /> | ||
| + | [[Trigamma function]]<br /> | ||
Revision as of 02:14, 6 January 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.
