English

Composition arithmetic for locally one-to-one entire mappings

Complex Variables 2016-08-26 v1

Abstract

This paper describes a part of the factorization theory of the family of all the entire functions with non vanishing derivatives. In particular it proves that this family of mappings contains primes. This assures that this family of entire functions has two non degenerate fractal representations.

Cite

@article{arxiv.1608.07174,
  title  = {Composition arithmetic for locally one-to-one entire mappings},
  author = {Ronen Peretz},
  journal= {arXiv preprint arXiv:1608.07174},
  year   = {2016}
}
R2 v1 2026-06-22T15:30:52.647Z