论文标题
关于两个Meromormormormormorphic函数的独特性，共享三组和有限的权重
On uniqueness of two meromorphic functions sharing three sets with finite weights
论文作者
论文摘要
在集合的加权共享概念的帮助下，本文处理了\ emph {yi} \ cite {yi-sc-1994}所提出的问题，涉及有关三个集共享的Meromorthic功能的唯一性。事实证明，结果大大改善了{Banerjee -ahamed} [Bull的最新结果。波兰学院。 Sci。，{62}（3）（2014），243--256。]，\ {Banerjee-Mukherjee} [Hokkaido Math。 J.，{37}（2008），507--530。]和{banerjee-majumder} [分析，{34}（2）（2014），143---162。]，通过放松共享的性质。已经展示了几个示例，以显示集合{s} _1和{s} _2在定理1.1中考虑的敏锐度。此外，我们给出一些建设性的例子来认可我们已建立的定理的有效性。
With the help of the notion of weighted sharing of sets, this paper dealt with the question posed by \emph{Yi} \cite{Yi-SC-1994} regarding the uniqueness of meromorphic functions concerning three set sharing. A result has been proved which significantly improved the recent results of {Banerjee - Ahamed} [Bull. Polish Acad. Sci., {62}(3)(2014), 243--256.], \{Banerjee - Mukherjee} [Hokkaido Math. J., {37}(2008), 507--530.] and {Banerjee - Majumder} [Analysis, {34}(2)(2014), 143--162.] by relaxing the nature of sharing. Several examples have been exhibited to show the sharpness of the cardinalities of the sets {S}_1 and {S}_2 considered in Theorem 1.1. Moreover, we give some constructive examples to endorse the validity of our established theorem.
