Normal criteria of function families concerning shared values
Author(s): YUAN Wen-jun, XIAO Bing, LAI Jin-chun, School of Mathematics and Information Sciences, Guangzhou University, Key Laboratory of Mathematics and Interdisciplinary Sciences Guangdong Higher Education Institutes, Guangzhou University, School of Mathematics Science, Xinjiang Normal University
Pages: 1-7
Year: 2013 Issue: 5
Journal: Journal of Guangzhou University:Natural Science Edition
Keyword: Holomorphic function; normal family; meromorphic function; share value;
Abstract: In the paper,we study the normality of families of meromorphic functions concerning shared values. We consider mainly whether a family meromorphic functions ! is normal in D,if for every pair of functions f and g in !,f( k)- af-nand g( k)- ag-nshare the value b,where a and b are two finite complex numbers such that a ≠ 0,n and k ≥2 are two positive integers. Two examples show that some conditions in our results are best possible.
Pages: 1-7
Year: 2013 Issue: 5
Journal: Journal of Guangzhou University:Natural Science Edition
Keyword: Holomorphic function; normal family; meromorphic function; share value;
Abstract: In the paper,we study the normality of families of meromorphic functions concerning shared values. We consider mainly whether a family meromorphic functions ! is normal in D,if for every pair of functions f and g in !,f( k)- af-nand g( k)- ag-nshare the value b,where a and b are two finite complex numbers such that a ≠ 0,n and k ≥2 are two positive integers. Two examples show that some conditions in our results are best possible.
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