Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2019; 56(3): 789-799

Online first article March 12, 2019      Printed May 31, 2019

https://doi.org/10.4134/BKMS.b180595

Copyright © The Korean Mathematical Society.

On the uniqueness of meromorphic function and its shift sharing values with truncated multiplicities

Hai Nam Nguyen, Vangty Noulorvang, Duc Thoan Pham

National University of Civil Engineering; National University of Education; National University of Civil Engineering

Abstract

In this paper, we deal with 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 $f(z)$ sharing sets with its shift.

Keywords: meromorphic functions, shifts sharing values, uniqueness theo\-rems

MSC numbers: Primary 32H30, 32A22; Secondary 30D35

Supported by: This research of the first author is funded by National University of Civil Engineering (NUCE) under grant number 20-2019/KHXD-T-D