G. A. Edgar Department of Mathematics The Ohio State University Columbus, OH 43210 U.S.A.edgar@math.ohio-state.edu
Abstract
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.download PDF file:
![[PDF]](/edgar.2/icons/pdf.gif){kind=icon}
fractional.pdf (version of December, 2011)
