[Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration - Printable Version +- Tetration Forum ( https://math.eretrandre.org/tetrationforum)+-- Forum: Tetration and Related Topics ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1)+--- Forum: Mathematical and General Discussion ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3)+--- Thread: [Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration ( /showthread.php?tid=632) |

[Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration - Gottfried - 05/19/2011
I considered the iteration of the multiplication in the sense of the interpolation of the factorial. I adapted the idea of a truncation of a matrixoperator in the same way as Andy has described it with his slog-solution. The occuring powerseries are "automatically" that of the gamma/lngamma-function - it seems, that method provides a proper "uniqueness-criterion" implicitely (that's then also a backup for the possible justifications of Andy's method). When I stuck at a certain problem I discussed this in the math.SE-forum, see the link here: math.stackexchange.com I'll also put my results in my text on Uncompleting the Gamma (PDF) which I'll upload here if I'm finished as update of the provisorical chapter 4. Gottfried |