NORMALITY CRITERIA FOR A FAMILY OF MEROMORPHIC FUNCTIONS WITH MULTIPLE ZEROS

被引：0

作者：

Datt, Gopal ^{[1
]}

Li, Yuntong ^{[2
]}

Rani, Poonam ^{[3
]}

机构：

[1] Harish Chandra Res Inst HBNI, Sch Math, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

[2] Shaanxi Railway Inst, Dept Basic Courses, Weinan 714000, Shaanxi, Peoples R China

[3] Univ Delhi, Dept Math, Delhi 110007, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 33卷 / 03期

关键词：

meromorphic functions; holomorphic functions; shared values; normal families;

D O I：

10.4134/CKMS.c170282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman [4] and Chen et al. [2] to a great extent.

引用

页码：833 / 851

页数：19

共 17 条

[1] Ahlfors L. V., 1978, COMPLEX ANAL
[2] Normal Family of Meromorphic Functions concerning Shared Values
Chen, Wei
Tian, Honggen
Zhang, Yingying
Yuan, Wenjun
[J]. JOURNAL OF COMPLEX ANALYSIS, 2013,
[3] Normal criteria for families of meromorphic functions
Dethloff, Gerd
Tran Van Tan
Nguyen Van Thin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 411 (02) : 675 - 683
[4] On the value distribution of f+a(f′)n
Fang MingLiang
Zalcman, Lawrence
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (07): : 1196 - 1202
[5] Hayman W. K., 1964, OXFORD MATH MONOGRAP
[6] Hinchliffe J. D., 2002, COMPUT METH FUNCT TH, V2, P293
[7] Lei CL, 2013, ACTA MATH SCI, V33, P1667
[8] Normal Families of Zero-Free Meromorphic Functions
Li, Yuntong
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[9] MEROMORPHIC FUNCTIONS SHARING VALUES WITH THEIR DERIVATIVE
MUES, E
STEINMETZ, N
[J]. MANUSCRIPTA MATHEMATICA, 1979, 29 (2-4) : 195 - 206
[10] Schiff J., 1993, NORMAL FAMILIES

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