• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 A related discussion on interpolation: factorial and gamma-function bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 06/26/2008, 07:16 PM 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. « 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

 Possibly Related Threads... Thread Author Replies Views Last Post My interpolation method [2020] tommy1729 1 144 02/20/2020, 08:40 PM Last Post: tommy1729 New mathematical object - hyperanalytic function arybnikov 4 670 01/02/2020, 01:38 AM Last Post: arybnikov Is there a function space for tetration? Chenjesu 0 573 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 1,031 10/22/2018, 11:29 AM Last Post: Xorter Not directly related to tetration, but still... Ansus 0 1,479 05/17/2017, 11:54 AM Last Post: Ansus 2 fixpoints related by power ? tommy1729 0 1,583 12/07/2016, 01:29 PM Last Post: tommy1729 Should tetration be a multivalued function? marraco 17 17,935 01/14/2016, 04:24 AM Last Post: marraco Introducing new special function : Lambert_t(z,r) tommy1729 2 3,853 01/10/2016, 06:14 PM Last Post: tommy1729 Tommy's Gamma trick ? tommy1729 7 6,619 11/07/2015, 01:02 PM Last Post: tommy1729 Tommy-Mandelbrot function tommy1729 0 2,080 04/21/2015, 01:02 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)