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+--- Thread: Is the half iterate of 2sinh(x) analytic near R ? (/showthread.php?tid=781)
Is the half iterate of 2sinh(x) analytic near R ? - tommy1729 - 03/07/2013
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
RE: Is the half iterate of 2sinh(x) analytic near R ? - tommy1729 - 03/13/2013
Does the taylor series expanded from 0 converge outside its radius ?