- #1
Denver Dang
- 148
- 1
Homework Statement
I have a quick question about the gamma function.
According to my textbook it says:
[tex]\int_{0}^{\infty }{{{x}^{n}}{{e}^{-ax}}dx}=\frac{\Gamma \left( n+1 \right)}{{{a}^{n+1}}}[/tex]
where [itex]\Gamma[/itex] is the gamma function. My question is, do n has to be an integer number, or can it also be a half-integer number for the gamma function to work ?
Thanks in advance.