scholarly journals Normal Families of Meromorphic Functions Concerning Higher Derivative and Shared Values

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Wei Chen ◽  
Wenjun Yuan ◽  
Honggen Tian
Keyword(s):  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families ◽  
Higher Derivative

We study the normal families related to a Hayman conjecture of higher derivative and concerning shared values and get two normal criteria. Our results improve the related theorems which were obtained independently, respectively by Fang and Yuan (2001), Yuan et al. ((2011) and (2012)), Wang et al. (2011), and Qiu et al. (2012). Meanwhile, some examples are given to show the sharpness of our results.

Normal families of meromorphic functions concerning shared values

2013 ◽  
Vol 58 (1) ◽  
pp. 113-121 ◽  
Author(s):  
Jian-Jun Ding ◽  
Li-Wei Ding ◽  
Wen-Jun Yuan
Keyword(s):  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families

scholarly journals Normal Families concerning Polynomials and Shared Values

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Xin-Li Wang ◽  
Ning Cui
Keyword(s):  
Positive Integer ◽  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families

We study the problem of normal families of meromorphic functions concerning polynomials and shared values. We prove that a family ℱ of meromorphic functions in a domain D is normal if, for each function f∈ℱ, Pfzfkz=a⇔fkz=b, where P is a polynomial with the origin as zero, k is a positive integer, and a ≠0, b are two finite constants.

Normal families of meromorphic functions with shared values

2016 ◽  
Vol 36 (1) ◽  
pp. 87-93 ◽  
Author(s):  
Wei CHEN ◽  
Honggen TIAN ◽  
Peichu HU
Keyword(s):  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families

Normal families of meromorphic functions and shared values

2010 ◽  
Vol 165 (3-4) ◽  
pp. 569-578 ◽  
Author(s):  
Xiangzhong Wu ◽  
Yan Xu
Keyword(s):  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families

scholarly journals Normal families and shared values of meromorphic functions

2003 ◽  
Vol 80 ◽  
pp. 133-141 ◽  
Author(s):  
Mingliang Fang ◽  
Lawrence Zalcman
Keyword(s):  
Meromorphic Functions ◽  
Shared Values ◽  
Normal Families
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