关于分担多项式的全纯函数的正规族

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 394-399.

关于分担多项式的全纯函数的正规族

1. College of Mathematics, Honghe University2. College of Mathematics and Computing Science, Changsha University of Science and Technology

收稿日期:2008-04-02 出版日期:2011-09-30 发布日期:2023-04-19
作者简介:LIU Zhi-hong(1978-), male, native of Shaoyang, Hunan, a lecturer of Honghe University, M.S.D., engages in complex analysis.
基金资助:
Supported by the Scientific Research Starting Foundation for Master and Ph.D.of Honghe University(XSS08012)； Supported by Scientific Research Fund of Yunnan Provincial Education Department of China Grant(09C0206)；

Normal Families of Holomorphic Functions Concerning Shared a Polynomial

1. College of Mathematics, Honghe University2. College of Mathematics and Computing Science, Changsha University of Science and Technology

Received:2008-04-02 Online:2011-09-30 Published:2023-04-19
About author:LIU Zhi-hong(1978-), male, native of Shaoyang, Hunan, a lecturer of Honghe University, M.S.D., engages in complex analysis.
Supported by:
Supported by the Scientific Research Starting Foundation for Master and Ph.D.of Honghe University(XSS08012)； Supported by Scientific Research Fund of Yunnan Provincial Education Department of China Grant(09C0206)；

摘要/Abstract

摘要： In this paper, we study normal families of holomorphic function concerning shared a polynomial. Let F be a family of holomorphic functions in a domain D, k(2) be a positive integer, K be a positive number and α(z) be a polynomial of degree p(p>1). For each f∈F and z∈D, if f and f sharedα(z)CM and |f^(k)(z)|<K whenever f(z)-α(z)=0 in D, then F is normal in D.

关键词: holomorphic functions, normal family, shared values, polynomial

Abstract: In this paper, we study normal families of holomorphic function concerning shared a polynomial. Let F be a family of holomorphic functions in a domain D, k(2) be a positive integer, K be a positive number and α(z) be a polynomial of degree p(p>1). For each f∈F and z∈D, if f and f sharedα(z)CM and |f^(k)(z)|<K whenever f(z)-α(z)=0 in D, then F is normal in D.

Key words: holomorphic functions, normal family, shared values, polynomial

中图分类号:

O174.52

刘志宏, 李迎春, 黄斌. 关于分担多项式的全纯函数的正规族[J]. 数学季刊, 2011, 26(3): 394-399.

LIU Zhi-hong, LI Ying-chun, HUANG Bin. Normal Families of Holomorphic Functions Concerning Shared a Polynomial [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 394-399.

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