Fractional iteration near a fixpoint of multiplier 1.
- 1 February 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 4 (2) , 143-148
- https://doi.org/10.1017/s144678870002334x
Abstract
An analytic function f(z) is said to have a fixpoint ξ ≠ ∞ of multiplier 1 if f(ξ) = ξ, f'(ξ) = 1. The function then has an expansion .Keywords
This publication has 4 references indexed in Scilit:
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- Permutable power series and regular iterationJournal of the Australian Mathematical Society, 1962
- Sur l'itération des fonctions transcendantes EntièresActa Mathematica, 1926
- Sur les équations fonctionnellesBulletin de la Société Mathématiques de France, 1919