NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH MULTIPLE POLES

被引：0

作者：

Li, Yuntong ^{[1
]}

机构：

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

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2014年 / 45卷 / 04期

关键词：

Meromorphic functions; normal family; multiplicity;

D O I：

10.5556/j.tkjm.45.2014.1376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let J be a family of meromorphic functions defined in a domain D and a, b be two constants such that a not equal 0, infinity and b not equal infinity. If for each f is an element of J, all poles of f (z) are of multiplicity at least 3 in D, and f '(z) + af(2) (z) b has at most 1 zero in D, ignoring multiplicity, then F is normal in D.

引用

页码：357 / 366

页数：10

共 50 条

[21] Normal families of meromorphic functions and shared functions [J].

Niu, P. ;

Xu, Y. .

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2016, 51 (03) :160-165

[22] Composite meromorphic functions and normal families [J].

Wenjun Yuan ;

Bing Xiao ;

Qifeng Wu .

Archiv der Mathematik, 2011, 96 :435-444

[23] Composite meromorphic functions and normal families [J].

Yuan, Wenjun ;

Xiao, Bing ;

Wu, Qifeng .

ARCHIV DER MATHEMATIK, 2011, 96 (05) :435-444

[24] Normal criteria for families of meromorphic functions [J].

Dethloff, Gerd ;

Tran Van Tan ;

Nguyen Van Thin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 411 (02) :675-683

[25] NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION [J].

Sun, Cheng-Xiong .

KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (02) :273-282

[26] Normal families of meromorphic functions sharing values or functions [J].

Jiang, Yunbo ;

Gao, Zongsheng .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[27] Normal families of meromorphic functions sharing values or functions [J].

Yunbo Jiang ;

Zongsheng Gao .

Journal of Inequalities and Applications, 2011

[28] The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values [J].

Wang You-Ming .

KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03) :641-652

[29] On normal families and differential polynomials for meromorphic functions [J].

Lu, Qian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) :394-400

[30] SHARED SETS AND NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS [J].

Chen, Jun-Fan .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (05) :1473-1479

← 1 2 3 4 5 →