SOME NORMAL CRITERIA FOR FAMILIES OF MEROMORPHIC FUNCTIONS

被引：1
作者：
Xiao, Bing [1 ]
Xiong, Weiling [2 ]
Yuan, Wenjun [3 ]
机构：
[1] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Peoples R China
[2] Guangxi Univ Technol, Dept Informat & Comp Sci, Liuzhou 545006, Peoples R China
[3] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 03期
关键词：
Holomorphic function; Normal family; Meromorphic function; Share value; SHARED VALUES; MULTIPLE ZEROS; PRINCIPLE;
D O I：
10.11650/tjm.19.2015.4549
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we study the normality of families of meromorphic functions related a Hayman Conjecture. We consider whether a family meromorphic functions F is normal in D, if for each function f in F, f' + af(n) = b has at most one zero, where n is a positive integer, a and b not equal 0 are two finite complex numbers. Some examples show that the conditions in our results are best possible.
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收藏
页码：725 / 736
页数：12
相关论文
共 27 条
[11]  
Hayman WK., 1964, Meromorphic functions
[12]   ON NORMAL-FAMILIES AND A RESULT OF DRASIN [J].
LANGLEY, JK .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 98 :385-393
[13]  
LI XJ, 1985, SCI SIN A-MATH P A T, V28, P596
[14]   ON NORMAL CRITERION OF MEROMORPHIC FUNCTIONS [J].
PANG, XC .
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1990, 33 (05) :521-527
[15]   Normal families and shared values [J].
Pang, XC ;
Zalcman, L .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 :325-331
[16]   Normality and shared values [J].
Pang, XC ;
Zalcman, L .
ARKIV FOR MATEMATIK, 2000, 38 (01) :171-182
[17]   4 COUNTEREXAMPLES TO BLOCHS PRINCIPLE [J].
RUBEL, LA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 98 (02) :257-260
[18]  
SCHWICK W, 1989, J ANAL MATH, V52, P241
[19]  
Wang YF, 1998, ACTA MATH SIN, V14, P17
[20]  
Yang C., 2003, Uniqueness Theory of Meromorphic Functions, DOI DOI 10.1007/978-94-017-3626-8
123