# Gamma function convergence of an integral

## Main Question or Discussion Point

##\Gamma(x)=\int^{\infty}_0 t^{x-1}e^{-t}dt## converge for ##x>0##. But it also converge for negative noninteger values. However many authors do not discuss that. Could you explain how do examine convergence for negative values of ##x##.

## Answers and Replies

I'm pretty sure it doesn't converge for negative noninteger values and that the formula is not applicable there. Use the recursive formula for the Gamma function instead to get those values.

mathman