Definition:Gamma Function/Euler Form/Historical Note

Historical Note on Euler Form of Gamma Function
was the first to find this extension of the factorial to the real numbers.

He actually specified it in the form:


 * $\displaystyle n! = \lim_{m \mathop \to \infty} \frac {m^n m!} {\left({n + 1}\right) \left({n + 2}\right) \cdots \left({n + m}\right)}$

He wrote to about it in a letter dated $13$th October $1729$.