Uniqueness of meromorphic functions with their reduced linear c-shift operators sharing two or more values or sets

被引:6
作者
Banerjee, Abhijit [1 ]
Bhattacharyya, Saikat [2 ]
机构
[1] Univ Kalyani, Dept Math, Kalyani, W Bengal, India
[2] Jangipur Govt Polytech, Dept Sci & Humanities, Jangipur, W Bengal, India
关键词
Meromorphic functions; Uniqueness; Difference operator; Shared set; Weighted sharing;
D O I
10.1186/s13662-019-2425-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper, we introduce a new notion of reduced linear c-shift operator Lr c f, and with the aid of this new operator, we study the uniqueness of meromorphic functions f (z) and Lr c f sharing two or more values in the extended complex plane. The results obtained in the paper significantly improve a number of existing results. Further, using the notion of weighted sharing of sets, we deal the same problem. We exhibit a handful number of examples to justify certain statements relevant to the content of the paper. We are also able to determine the form of the function that coincides with its reduced linear c-shift operator. At the end of the paper, we pose an open question for future research.
引用
收藏
页数:23
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