I'm curious: where are the branch points for the positiverealcount fractional iterations such as on the complex plane? I tried a graph on the complex plane for z in the square from 55i to +5+5i and I noticed two cutlines (at it appears (where t is real)), but they seem to go across the entire plane. So are these "real", i.e. are there branch points on them (or outside the graphing square), or are they just an artifact of the algorithm and the fractional iterate is actually entire (i.e. we could analytically continue it out of the region near 0 into the whole plane)?
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f(f(x)) = exp(x) + x

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f(f(x)) = exp(x) + x  by tommy1729  12/12/2009, 12:54 AM
RE: f(f(x)) = exp(x) + x  by bo198214  12/14/2009, 09:52 AM
RE: f(f(x)) = exp(x) + x  by tommy1729  12/14/2009, 09:47 PM

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