tommy's group addition isomo conjecture tommy1729 Ultimate Fellow Posts: 1,703 Threads: 374 Joined: Feb 2009 09/15/2022, 11:59 PM Let f(z) be an analytic function. let z1 , z2 be complex numbers of the form a^2 + b^2 i  and c^2 + d^2 i  such that Re ln(z1 + z2) =< ln (sqrt(2)) Let z_0 not be a fixpoint or cyclic point or singularity or pole of f(z). and let f^[z1 + z2](z_0) = f^[w](z_0) = f^[z_1](f^[z_2](z_0)) =   f^[z_2](f^[z_1](z_0)) For all z1,z2 such that z1 + z2 = w. Let s = g^2 + h^2 i Also let f^[s](z_0) be injective for all complex 0 =< s =< w. then  f^[s](z_0) is analytic in s if 0 =< s =< w. (the inequalities refer to the modulus comparisons) Regards tommy1729 tommy1729 Ultimate Fellow Posts: 1,703 Threads: 374 Joined: Feb 2009 09/16/2022, 12:25 PM (This post was last modified: 09/16/2022, 12:26 PM by tommy1729.) « Next Oldest | Next Newest »

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