Difference between revisions of "Barnes G at z+1 in terms of Barnes G and gamma"

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<strong>[[Barnes G at z+1|Theorem]]:</strong> The following formula holds:
+
<strong>[[Barnes G at z+1 in terms of Barnes G and gamma|Theorem]]:</strong> The following formula holds:
 
$$G(z+1)=\Gamma(z)G(z),$$
 
$$G(z+1)=\Gamma(z)G(z),$$
 
where $G$ denotes the [[Barnes G]] function and $\Gamma$ denotes the [[gamma]] function.
 
where $G$ denotes the [[Barnes G]] function and $\Gamma$ denotes the [[gamma]] function.

Revision as of 00:47, 24 May 2016

Theorem: The following formula holds: $$G(z+1)=\Gamma(z)G(z),$$ where $G$ denotes the Barnes G function and $\Gamma$ denotes the gamma function.

Proof: