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 how many superfunctions? [was superfunctions of eta converge towards each other] bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 05/28/2011, 09:18 AM (05/27/2011, 10:48 PM)tommy1729 Wrote: if there are 2m regular superfunctions f_i from one fixpoint , is it true that at least m of those can be chosen such that f_i(z) = f_j(z + p_q(z) + Q) ?? where p_q(z) is a periodic function and Q is a constant. Yes, first a (regular) superfunction is always undetermined by an x-axis shift, this is the role of Q. Second if you have any two superfunctions f and g, then $g^{-1}(f(x))$ (if g is suitably injective) is always a 1-periodic function, which follows from the definition of Abel and superfunction. « Next Oldest | Next Newest »

 Messages In This Thread how many superfunctions? [was superfunctions of eta converge towards each other] - by tommy1729 - 05/26/2011, 10:09 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by bo198214 - 05/27/2011, 09:33 AM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by tommy1729 - 05/27/2011, 10:48 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by bo198214 - 05/28/2011, 09:18 AM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by sheldonison - 05/31/2011, 07:38 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by tommy1729 - 05/28/2011, 12:12 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by bo198214 - 05/28/2011, 12:25 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by tommy1729 - 05/29/2011, 05:27 PM RE: how many superfunctions? [was superfunctions of eta converge towards each other] - by bo198214 - 05/29/2011, 09:20 PM

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