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 Some slog stuff tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 05/12/2015, 09:55 PM First i want to say that the equation Slog(ln(x)) = slog(x) - 1 is sometimes better then Slog(exp(x)) = slog(x) + 1. Basically because slog is NOT periodic as the exp suggests. Also because we almost always only consider the fixpoint x = ln(x) rather then all the fixpoints x = exp(x). Let the fixpoints be L and L*. First question Im fascinated by the fact that f(g(x)+1) can be periodic while g is not. Are there elementary nonpolynomial f,g that satisfy this ? Second question How does slog behave around the singularities at L and L* ?? 3rd question Does there exist An entire function E such that, Slog(x) = E( ln(x - L) + ln(x - L*) ) ? Or something similar ? Regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Some slog stuff - by tommy1729 - 05/12/2015, 09:55 PM RE: Some slog stuff - by tommy1729 - 05/12/2015, 10:16 PM RE: Some slog stuff - by tommy1729 - 05/12/2015, 10:45 PM RE: Some slog stuff - by sheldonison - 05/12/2015, 11:45 PM RE: Some slog stuff - by tommy1729 - 05/13/2015, 12:25 PM RE: Some slog stuff - by tommy1729 - 05/13/2015, 11:49 PM RE: Some slog stuff - by sheldonison - 05/14/2015, 12:37 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 01:56 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 02:28 PM RE: Some slog stuff - by sheldonison - 05/14/2015, 03:13 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 05:58 PM RE: Some slog stuff - by sheldonison - 05/14/2015, 08:06 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 02:43 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 06:55 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 08:58 PM RE: Some slog stuff - by tommy1729 - 05/14/2015, 09:25 PM

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