Meromorphic functions share three values with their difference operators

2015/04/13 by Feng Lü, Lü, Feng, Weiran Lü +1
Mathematics · #Meromorphic and Entire Functions #Advanced Differential Equations and Dynamical Systems #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1504.03147

Abstract

In the work, we focus on a conjecture due to Z.X. Chen and H.X. Yi[1] which is concerning the uniqueness problem of meromorphic functions share three distinct values with their difference operators. We prove that the conjecture is right for meromorphic function of finite order. Meanwhile, a result of J. Zhang and L.W. Liao[10] is generalized from entire functions to meromorphic functions.

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