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Radically distributed value and normal families of meromorphic functions
Authors:Jianming Qi  Guowei Zhang  Wenjun Yuan
Affiliation:1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China2. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China3. Department of Mathematics, Anyang Normal University, Anyang 455000, China4. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
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
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