Semihyperbolic Transcendental Semigroups

Abstract

This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic. Note that a semihyperbolic semigroup G admit holomorphic scaling, that is to say, the branches of local inverses of functions f 2 G are of bounded degree and that the preimages shrink to zero in diameter.

Cite this paper

@inproceedings{Sumi1999SemihyperbolicTS, title={Semihyperbolic Transcendental Semigroups}, author={Hiroki Sumi}, year={1999} }