亚纯函数与其q-平移算子分担公共值的唯一性

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

数学季刊 ›› 2019, Vol. 34 ›› Issue (3): 232-241.doi: 10.13371/j.cnki.chin.q.j.m.2019.03.002

亚纯函数与其q-平移算子分担公共值的唯一性

College of Mathematics and Information Science, Jiangxi Normal University

收稿日期:2017-03-07 出版日期:2019-09-30 发布日期:2020-08-22
基金资助:
Supported by the National Natural Science Foundation of China(11661044)

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

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)

摘要/Abstract

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

中图分类号:

O174.52

张水英, 刘慧芳. 亚纯函数与其q-平移算子分担公共值的唯一性[J]. 数学季刊, 2019, 34(3): 232-241.

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.

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亚纯函数与其q-平移算子分担公共值的唯一性

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

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