WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS
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In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.
Abstract
In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.
참고문헌 (9)
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- W. C. Lin, "Uniqueness theorems for meromorphic functions concerning fixed points", Complex Var. Theory Appl, 49(11), pp.793~806 (2004)
- Junfeng Xu, "Uniqueness of Entire Functions and Differential Polynomials", 대한수학회보, 44(4), pp.623~629 (2007), 대한수학회
- L. Yang, "Value Distribution Theory" (1993), Springer-Verlag
- C. C. Yang, "Uniqueness Theory of Meromorphic Functions", Mathematics and its Applications, 557 (2003), Kluwer Academic Publishers Group
