Weierstrass Product
Click on the image for a detailed proof
\frac{1}{\Gamma(s)}=se^{\gamma s}\prod_{n\equal1}^{\infty}\left(1+\frac{s}{n}\right)e^{-\frac{s}{n}}
While developing the theory of the Gamma Function, it is often more convenient to define it utilizing Weierstrass’ infinite product. This form, which utilizes the Euler-Mascheroni constant, is one of the most commonly used.
In our demonstration we require Euler’s Infinite Product.
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