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

ZHANG Shui-ying, LIU Hui-fang

doi:10.13371/j.cnki.chin.q.j.m.2019.03.002

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 3: 232 - 241

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.03.002

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

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College of Mathematics and Information Science, Jiangxi Normal University

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.

Received date: 2017-03-07

Online published: 2020-08-22

Supported by

Supported by the National Natural Science Foundation of China(11661044)

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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

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ZHANG Shui-ying, LIU Hui-fang . On Uniqueness Problem of Meromorphic Functins Sharing Values with Their q-shifts[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(3) : 232 -241 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.002

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