涉及不取零点的亚纯函数的正规族

邓炳茂, 刘丹, 王雪琴, 杨德贵

doi:10.13371/j.cnki.chin.q.j.m.2014.03.014

数学季刊 >

2014 , Vol. 29 >Issue 3: 438 - 446

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.014

涉及不取零点的亚纯函数的正规族

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1. South China Institute of Software Engineering, Guangzhou University2. Institute of Applied Mathematics, South China Agricultural University

DENG Bing-mao(1985-), male, native of Jieyang, Guangdong, a lecturer of South China Institute of Software Engineering, Guangzhou University, M.S.D., engages in complex analysis.

收稿日期: 2013-09-01

网络出版日期: 2020-11-30

基金资助

Supported by the NNSF of China(11371149)；

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Normal Families of Zero-free Meromorphic Functions II

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1. South China Institute of Software Engineering, Guangzhou University2. Institute of Applied Mathematics, South China Agricultural University

DENG Bing-mao(1985-), male, native of Jieyang, Guangdong, a lecturer of South China Institute of Software Engineering, Guangzhou University, M.S.D., engages in complex analysis.

Received date: 2013-09-01

Online published: 2020-11-30

Supported by

Supported by the NNSF of China(11371149)；

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摘要

Let k, m be two positive integers with m ≤ k and let F be a family of zero-free meromorphic functions in a domain D, let h（z） ≡ 0 be a meromorphic function in D with all poles of h has multiplicity at most m. If, for each f ∈ F, f（k）（z） = h（z） has at most k- m distinct roots（ignoring multiplicity） in D, then F is normal in D. This extends the results due to Chang[1], Gu[3], Yang[11]and Deng[1]etc.

关键词： meromorphic function; normality; shared value

本文引用格式

邓炳茂, 刘丹, 王雪琴, 杨德贵 . 涉及不取零点的亚纯函数的正规族[J]. 数学季刊, 2014 , 29(3) : 438 -446 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.014

Abstract

Key words： meromorphic function; normality; shared value

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