On the uniqueness of meromorphic function and its shift sharing values with truncated multiplicities
Bull. Korean Math. Soc.
Published online 2019 Mar 12
Hai Nam Nguyen, Vangty Noulorvang, and Duc Thoan Pham
National University of Education, National University of Civil Engineering
Abstract : In this paper, we deal with the unicity of a nonconstant zero-order meromorphic function $f(z)$ and its shift $f(qz)$ when they share four distinct values $IM$ or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q\in\mathbb C\setminus{0}$. We also give an uniqueness result for $f(z)$ share sets with its shift.
Keywords : meromorphic functions, shifts sharing values, uniqueness theorems
MSC numbers : Primary 32H30, 32A22; Secondary 30D35
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