Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (3): 232-241.doi: 10.13371/j.cnki.chin.q.j.m.2019.03.002

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On Uniqueness Problem of Meromorphic Functins Sharing Values with Their q-shifts

  

  1. College of Mathematics and Information Science, Jiangxi Normal University
  • Received:2017-03-07 Online:2019-09-30 Published:2020-08-22
  • About author:ZHANG Shui-ying(1990-), female, Jiangxi Ganzhou, engages in complex analysis; LIU hui- fang(1973-), female, Jiangxi Fengcheng, professor, Ph.D., engages in complex analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11661044)

Abstract: In this paper, the uniqueness problems on meromorphic function f(z) of zero order sharing values with their q-shift f(qz + c) are studied. It is shown that if f(z) and f(qz + c) share one values CM and IM respectively, or share four values partially, then they are identical under an appropriate deficiency assumption. 

Key words: Meromorphic Function, Uniqueness, Shared Value, Shift

CLC Number: