[math-fun] A generalization of the Gamma function reflection formula

It is known that 1/(z! (-z)!) = sin(pi z)/(pi z). Does there exist a similar simplification formula for 1/(z! (wz)! (wwz)! ...), w an n-th root of 1, and the product is over all n roots? When n is even, we can use the reflection formula, but what happens when n is odd? Gene __________________________________________________ Do You Yahoo!? Tired of spam? Yahoo! Mail has the best spam protection around http://mail.yahoo.com