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 Does the Mellin transform have a half-iterate ? tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 05/07/2014, 11:17 PM I notice that Im not so comfortable with many iteration of the Mellin transform. Convergeance issues seem to pop up out of nowhere. For instance if we start with f(x) = exp(x) or f(x) = exp(-x) we get in trouble before we reach the 3rd iteration of the mellin transform. And if we pick an elementary function between exp(x) and exp(-x), I seem to have trouble finding a closed form for every n th mellin transform. Maybe I need to consider using hypergeometrics ? What are standard tables of n th mellin transforms (for s,x > 0) , if that has even been made yet ? regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/06/2014, 10:25 PM RE: Does the Mellin transform have a half-iterate ? - by JmsNxn - 05/07/2014, 03:22 PM RE: Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/07/2014, 11:17 PM RE: Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/07/2014, 11:42 PM RE: Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/07/2014, 11:52 PM

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