(05/12/2014, 02:15 AM)mike3 Wrote:(05/12/2014, 01:44 AM)JmsNxn Wrote:(05/11/2014, 11:26 PM)mike3 Wrote: I'm curious: how did you get that first formula? Is it possible to get a similar formula for

I'm indisposed at the moment but the formula is derived in the paper I posted. Its a very brief proof and follows from cauchy's residue theorem and a meromorphic representation of the Gamma function. I could write some of it out, but it wouldn't be completely formal and might not leave you convinced .

Contour integration, right?

Yeah. It's a very nifty contour integral. The gamma function is just so beautiful, I wish I could just kiss it.