The inverse gamma function.

[JmsNxn]

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...