View source for Gamma function written as infinite product

==Theorem==
The following formula holds:
$$\Gamma(z) = \dfrac{1}{z} \displaystyle\prod_{k=1}^{\infty} \dfrac{(1+\frac{1}{k})^z}{1+\frac{z}{k}},$$
where $\Gamma$ denotes the [[gamma]] function.

==Proof==

==References==
* {{BookReference|A course of modern analysis|1920|Edmund Taylor Whittaker|author2=George Neville Watson|edpage=Third edition|prev=Reciprocal gamma written as an infinite product|next=findme}}: $\S 12 \cdot 11$
* {{BookReference|Higher Transcendental Functions Volume I|1953|Arthur Erdélyi|author2=Wilhelm Magnus|author3=Fritz Oberhettinger|author4=Francesco G. Tricomi|prev=Gamma function written as a limit of a factorial, exponential, and a rising factorial|next=Reciprocal gamma written as an infinite product}}: §1.1 (2)

[[Category:Theorem]]
[[Category:Unproven]]