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Infinite entropy for transcendental entire functions with an omitted value

Dynamical Systems 2018-08-07 v1 Complex Variables

Abstract

We prove that entire transcendental holomorphic functions with an omitted value have infinite entropy. A proof for general transcendental entire functions will be given in an upcoming paper.

Keywords

Cite

@article{arxiv.1808.01751,
  title  = {Infinite entropy for transcendental entire functions with an omitted value},
  author = {Anna Miriam Benini and John Erik Fornæss and Han Peters},
  journal= {arXiv preprint arXiv:1808.01751},
  year   = {2018}
}

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4 pages