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Could be tetration if this integral converges

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Could be tetration if this integral converges
JmsNxn Offline
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05/12/2014, 03:32 PM (This post was last modified: 05/12/2014, 03:32 PM by JmsNxn.)
(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 Smile.

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. Smile
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RE: Could be tetration if this integral converges - by JmsNxn - 05/12/2014, 03:32 PM

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