Radically distributed value and normal families of meromorphic functions

doi:10.1007/s11464-014-0357-7

Front. Math. China

2014, Vol. 9

Issue (2) : 355-376 https://doi.org/10.1007/s11464-014-0357-7

RESEARCH ARTICLE

Radically distributed value and normal families of meromorphic functions

Jianming QI^1,²,Guowei ZHANG³,Wenjun YUAN^2,^4,^*(

)

1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China
2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
3. Department of Mathematics, Anyang Normal University, Anyang 455000, China
4. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

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Abstract

We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose differential polynomials share a non-zero value. Our theorems improve some previous results.

Keywords Meromorphic function Nevanlinna theory normal family angular characteristic function radially distributed value

Corresponding Author(s): Wenjun YUAN

Issue Date: 16 May 2014

Cite this article:

Jianming QI,Guowei ZHANG,Wenjun YUAN. Radically distributed value and normal families of meromorphic functions[J]. Front. Math. China, 2014, 9(2): 355-376.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0357-7
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I2/355

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