NORMALITY CRITERIA FOR FAMILIES OF MEROMORPHIC FUNCTIONS

被引:0
作者
Kumar, Sanjay [1 ]
Rani, Poonam [2 ]
机构
[1] Univ Delhi, Dept Math, Deen Dayal Upadhyaya Coll, Delhi 110078, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
关键词
Meromorphic functions; holomorphic functions; normal families; Zalcman's lemma; PICARD VALUES;
D O I
10.1007/s13226-020-0418-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove some normality criteria for a family of meromorphic functions, which involves the zeros of certain differential polynomials generated by the members of the family.
引用
收藏
页码:579 / 588
页数:10
相关论文
共 23 条
[1]  
Ahlfors L.V., 1979, COMPLEX ANAL
[2]   NORMALITY AND SHARING FUNCTIONS [J].
Datt, Gopal ;
Kumar, Sanjay .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (06) :853-864
[3]   Hayman's question on normal families concerning zero numbers [J].
Deng, Bingmao ;
Qiu, Huiling ;
Liu, Dan ;
Fang, Mingliang .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (05) :616-630
[4]   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
[5]   NORMAL FAMILIES AND NEVANLINNA THEORY [J].
DRASIN, D .
ACTA MATHEMATICA UPPSALA, 1969, 122 (3-4) :231-&
[6]   Normal families and multiple values [J].
Fang, M. L. ;
Chang, J. M. .
ARCHIV DER MATHEMATIK, 2007, 88 (06) :560-568
[7]   On the value distribution of f+a(f′)n [J].
Fang MingLiang ;
Zalcman, Lawrence .
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (07) :1196-1202
[8]  
Hayman W.K., 1964, Oxford Mathematical Monographs
[9]   PICARD VALUES OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES [J].
HAYMAN, WK .
ANNALS OF MATHEMATICS, 1959, 70 (01) :9-42
[10]  
Hinchliffe JD, 2002, COMPUT METH FUNCT TH, V2, P293