multiplication formula for gamma function

For any integer $n>0$, the gamma function satisfes the following relation:

$$\mathrm{\Gamma }(nz)={(2\pi )}^{\frac{n-1}{2}}{n}^{nz-\frac{1}{2}}\prod _{k=0}^{n-1}\mathrm{\Gamma }\left(z+\frac{k}{n}\right)$$

This equation is true for all complex values of $z$ for which both sides are defined.

Title	multiplication formula for gamma function
Canonical name	MultiplicationFormulaForGammaFunction
Date of creation	2013-03-22 14:44:08
Last modified on	2013-03-22 14:44:08
Owner	rspuzio (6075)
Last modified by	rspuzio (6075)
Numerical id	8
Author	rspuzio (6075)
Entry type	Theorem
Classification	msc 33B15
Classification	msc 30D30