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[2014] Inconsistant equation ? - 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: [2014] Inconsistant equation ? (/showthread.php?tid=910) |
[2014] Inconsistant equation ? - tommy1729 - 07/27/2014 We are looking for a nonpolynomial analytic function f(z) that satisfies : f(z+i) = F(f(z-1),f(z),f(z+1)) Where F(a,b,c) = exp(x_0 + x_1 ln(a) + x_2 ln(b) + x_3 ln© + x_4 ln(a)ln(b) + x_5 ln(a)ln© + x_6 ln(b)ln© + x_7 ln(a)ln(b)ln©) where x_n are complex numbers. If most x_n are nonzero this seems complicated. Perhaps even inconsistant ? regards tommy1729 |