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Does the Mellin transform have a half-iterate ?
#3
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
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RE: Does the Mellin transform have a half-iterate ? - by tommy1729 - 05/07/2014, 11:17 PM

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