05/12/2014, 11:26 PM

(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?

I could be wrong but I think James also uses NĂ¶rlund-Rice integral and Ramanujan's master theorem.

Perhaps not used literally but only in the back of his mind.

regards

tommy1729