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 Could be tetration if this integral converges tommy1729 Ultimate Fellow Posts: 1,640 Threads: 366 Joined: Feb 2009 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 JmsNxn Ultimate Fellow Posts: 889 Threads: 110 Joined: Dec 2010 05/13/2014, 01:58 PM (05/12/2014, 11:26 PM)tommy1729 Wrote: 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 Wow. Never seen these results before ^_^. I actually reproved ramanujan's master theorem!Not very hard the way I did it. I am using something very close to the Norlund rice integral, slightly modified though. « Next Oldest | Next Newest »

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