05/24/2008, 08:35 AM

bo198214 Wrote:The Abel function counts the iterations of :

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The fact that Abel function extends COUNTING to non-integer , negative(?) and complex values of COUNTING is very interesting concept besides the fact it is useful in computations and analysis of iterates.

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e.g.

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If we turn it upside down, we can may be use the result of t iterations of a function to define what COUNTING with t (e.g. t=I) means.

We may get functions which are only COUNTABLE in certain ways, so that Abel equation is not possible to solve for all t.

Would that make sense?

Ivars