05/13/2014, 02:18 PM

(05/12/2014, 11:06 PM)tommy1729 Wrote: Dear James.

For starters if you are trying to find the integral I asked for :

1) I asked for the functional inverse of the Gamma function.

Not the reciprocal.

The whole OP was about the functional inverse of the Gamma function.

Although I could have stated that more clearly when I asked about the integral representation ...

2) ... Also defining f(x) By M^[-1] M^[1] f(x) seems a bit lame.

That looks similar to saying x = sqrt(x)^2 or x = exp(ln(x)).

3) despite 1) and 2) why do you wonder if that is OK ? You know the mellin inversion theorem.

Thanks anyway.

Maybe a second attempt.

Im not sure such an integral representation exists btw.

regards

tommy1729

oooooo functional inverse. That's tricky...