Is the half iterate of 2sinh(x) analytic near R ? tommy1729 Ultimate Fellow Posts: 1,708 Threads: 376 Joined: Feb 2009 03/07/2013, 12:16 AM Is the half iterate of 2sinh(x) - expanded from fixpoint 0 - analytic near R ? And does it satisfy its functional equation ( composition towards 2sinh(x) ) wherever it is analytic ( near R ) ? I know the taylor series is messed up because we have 2 complex conjugate fixpoints. However a taylor series can converge outside its radius. This might be a general idea that we need a general tool for. regards tommy1729 tommy1729 Ultimate Fellow Posts: 1,708 Threads: 376 Joined: Feb 2009 03/13/2013, 12:13 AM Does the taylor series expanded from 0 converge outside its radius ? « Next Oldest | Next Newest »

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