Normal Families and Shared Values of Meromorphic Functions

被引：1

作者：

Liu, Xiaoyi ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Meromorphic functions; Normal families; Shared values; Shared functions; MULTIPLE ZEROS;

D O I：

10.1007/s40840-015-0166-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a and b be two given meromorphic functions on a domain D. We study normality of the family F of meromorphic functions that satisfy f(z) f((k)) (z) = a(z) double left right arrow f ((k)) (z) = b(z) for every f is an element of F on D. Examples are also given to show the necessity of the conditions in our results.

引用

页码：155 / 171

页数：17

共 14 条

[1] On the derivative of meromorphic functions with multiple zeros [J].

Bergweiler, W ;

Pang, XC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (02) :285-292

[2]

Chen H. H., 1993, Science in China Ser. A, V36, P674

[3]

Fang ML., 2001, COMPUT METH FUNCT TH, V1, P289, DOI DOI 10.1007/BF03320991

[4]

Hayman W. K., 1964, Meromorphic functions

[5]

Liu D., B MALAYS MA IN PRESS

[6]

MENG D. W., B MALAYS MA IN PRESS

[7] Normal families and shared values [J].

Pang, XC ;

Zalcman, L .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 :325-331

[8]

Qi JM, 2012, B MALAYS MATH SCI SO, V35, P449

[9]

Schiff J. L., 1993, Normal Families

[10] Exceptional functions and normality [J].

Schwick, W .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1997, 29 :425-432

← 1 2 →