Bull. Korean Math. Soc. 2016; 53(4): 1213-1235
Printed July 31, 2016
https://doi.org/10.4134/BKMS.b150609
Copyright © The Korean Mathematical Society.
Xiao-Min Li and Hong-Xun Yi
University of Eastern Finland, Shandong University
We prove a uniqueness theorem of nonconstant meromorphic functions sharing three distinct values IM and a fourth value CM with their shifts, and prove a uniqueness theorem of nonconstant entire functions sharing two distinct small functions IM with their shifts, which respectively improve Corollary 3.3(a) and Corollary 2.2(a) from \cite{12}, where the meromorphic functions and the entire functions are of hyper order less than $1.$ An example is provided to show that the above results are the best possible. We also prove two uniqueness theorems of nonconstant meromorphic functions sharing four distinct values with their difference operators.
Keywords: entire functions, meromorphic functions, shift sharing values, difference operators, uniqueness theorems
MSC numbers: 30D35, 30D30
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