What is the Gamma Function and Its Significance in Mathematics?

[iDimension]

$$\Gamma(n)=\int_0^\infty\,t^{n-1}e^{-t}dn$$

What is it and what does it mean? Thanks.

 

[gleem]

I believe that you are trying to write the definition of the Gamma functions but. the integrations should be over the parameter t not n. The Gamma functions is the generalization of the factorial form n! for non integral values of n.

 

[BvU]

https://en.wikipedia.org/wiki/Gamma_function