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A related discussion on interpolation: factorial and gamma-function
#5
bo198214 Wrote:However as I now see the Hadamard and Luschny definitions hava a major drawback, they dont satisfy

they merely interpolate n!. So there is no (mentioned) alternative definition of the gamma function that satisfies the above equation.

For tetration we too demand that

and that it is not just an interpolation for b[4]n.
However here there seem to be several competing definitions.

upps? I thought(and was sure by reading the article) that for the positive integers there is identity with the "x! = x*(x-1)!" ? Did I miss something?
--- Ah , well, you mean for fractional x? Well - I'll consult the article again.

Thanks for the hint...

Gottfried
Gottfried Helms, Kassel
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RE: A related discussion on interpolation: factorial and gamma-function - by Gottfried - 06/27/2008, 04:29 PM

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