Difference between revisions of "Reciprocal gamma"

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The reciprocal gamma function is the function $\dfrac{1}{\Gamma(z)}$, where $\Gamma$ denotes the [[gamma function]].
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The reciprocal gamma function $\dfrac{1}{\Gamma}$ is defined by
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$$\left( \dfrac{1}{\Gamma} \right)(z) =\dfrac{1}{\Gamma(z)},$$
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where $\Gamma$ denotes the [[gamma function]].
  
 
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=Properties=
 
=Properties=
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[[Reciprocal gamma is entire]]<br />
 
[[Reciprocal gamma written as an infinite product]]<br />
 
[[Reciprocal gamma written as an infinite product]]<br />
 
[[Contour integral representation of reciprocal gamma]]<br />
 
[[Contour integral representation of reciprocal gamma]]<br />

Latest revision as of 10:50, 11 January 2017

The reciprocal gamma function $\dfrac{1}{\Gamma}$ is defined by $$\left( \dfrac{1}{\Gamma} \right)(z) =\dfrac{1}{\Gamma(z)},$$ where $\Gamma$ denotes the gamma function.

Properties

Reciprocal gamma is entire
Reciprocal gamma written as an infinite product
Contour integral representation of reciprocal gamma

See Also

Fransén–Robinson constant
Gamma function