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 A related discussion on interpolation: factorial and gamma-function Gottfried Ultimate Fellow Posts: 763 Threads: 118 Joined: Aug 2007 06/27/2008, 04:29 PM (This post was last modified: 06/27/2008, 04:30 PM by Gottfried.) bo198214 Wrote:However as I now see the Hadamard and Luschny definitions hava a major drawback, they dont satisfy $(x+1)!=(x+1)x!$ 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 $b[4](x+1)=b^{b[4]x}$ 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 « Next Oldest | Next Newest »

 Messages In This Thread A related discussion on interpolation: factorial and gamma-function - by Gottfried - 10/01/2007, 12:57 PM RE: A related discussion on interpolation: factorial and gamma-function - by bo198214 - 10/01/2007, 01:20 PM RE: A related discussion on interpolation: factorial and gamma-function - by Gottfried - 10/01/2007, 03:27 PM RE: A related discussion on interpolation: factorial and gamma-function - by bo198214 - 06/26/2008, 07:16 PM RE: A related discussion on interpolation: factorial and gamma-function - by Gottfried - 06/27/2008, 04:29 PM RE: A related discussion on interpolation: factorial and gamma-function - by bo198214 - 06/27/2008, 05:21 PM RE: A related discussion on interpolation: factorial and gamma-function - by Gottfried - 06/27/2008, 06:38 PM

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