Fractional Iteration of Series and Transseries
نویسنده
چکیده
We investigate compositional iteration of fractional order for transseries. For any large positive transseries T of exponentiality 0, there is a family T [s] indexed by real numbers s corresponding to iteration of order s. It is based on Abel’s Equation. We also investigate the question of whether there is a family T [s] all sharing a single support set. A subset of the transseries of exponentiality 0 is divided into three classes (“shallow”, “moderate” and “deep”) with different properties related to fractional iteration.
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تاریخ انتشار 2011