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properties of abel functions in general
#4
(10/24/2009, 12:28 AM)Base-Acid Tetration Wrote: Let us summarize what are known about superfunctions, abel functions, etc.

*Let f be a holo. function. Let A be an abel function of f. if a is a fixed point of f, then A has a logarithmic branch point at A. not necessarily a log branch pt. but still some kind of singularity.

If you consider regular iteration at a hyperbolic fixed point , then definitely the Abel function has a logarithmic singularity there. It is of the form:
where and is some analytic function in the vicinity of .
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RE: properties of abel functions in general - by bo198214 - 10/24/2009, 10:10 AM

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