On iterates of ez
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (1) , 103-106
- https://doi.org/10.1017/s014338570000119x
Abstract
It is proved that for the map f: ℂ → ℂ given by f(z) = ez, the family is not normal at any point. In particular, f is topologically transitive.Keywords
This publication has 2 references indexed in Scilit:
- Über die Iteration der ganzen transzendenten Funktionen, insbesondere von sinz und cosz 1Mathematische Annalen, 1940
- Sur l'itération des fonctions transcendantes EntièresActa Mathematica, 1926