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 poincare function tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 09/10/2010, 12:00 AM poincare functional equation F(az) = f(f(z)) with abs(a) > 1 and f(z) holomorphic @ z = 0 F(0) = f(0) = 0 f '(0) = a always has a solution F(z) holomorhic @ z = 0. if F ' (0) = 1 we have uniqueness. ( poincare function ). ** !! IF f(z) is entire then so is F(z) !! ** might be usefull to someone. regards tommy1729 « Next Oldest | Next Newest »

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