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MEROMORPHIC FUNCTIONS SHARING FOUR VALUES WITH THEIR DIFFERENCE OPERATORS OR SHIFTS

  • Li, Xiao-Min ;
  • Yi, Hong-Xun
  • Received : 2015.07.30
  • Published : 2016.07.31

Abstract

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 [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

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Cited by

  1. Uniqueness of entire functions sharing two values with their difference operators vol.2017, pp.1, 2017, https://doi.org/10.1186/s13662-017-1444-3

Acknowledgement

Supported by : National Natural Science Foundation of China, National Natural Science Foundation of Shandong Province