Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Infinite Entropy for Transcendental Entire Functions with an Omitted Value

Anna Miriam Benini , John Erik Fornæss , Han Peters

pp. 49-52

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.