高指数初始项非空隙多项式的零点对合态函数唯一性的影响

Q2 Mathematics
Abhijit Banerjee, Jhilik Banerjee
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引用次数: 0

摘要

在本文中,我们首先介绍了初始项非缺口多项式(ITNGP)的索引定义。接下来,我们以一种更全面的方式扩展了众所周知的集合加权共享定义,从而建立了广义上的集合加权共享定义。由于我们注意到之前的研究者都把他们的研究局限于 ITNGP 的指数 3,我们觉得探索指数 \(\ge 4\) 的 ITNGP 在文献中的贡献是合理的。因此在本文中,我们仅从\({\mathbb {C}}\)出发,重点建立加权范围集扩展结构外围下的分形函数的唯一性。因此,我们提出了四个全新的定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions

In this article, we have first introduced the definition of index of initial term non-gap polynomials (ITNGP). Next, we extend the well known definition of weighted sharing of sets in a more comprehensive manner to establish the definition of weighted sharing of sets in the wider sense. As we have observed that the previous researchers were confined their investigations up to index 3 of ITNGP, we feel that it is reasonable mostly to explore the contribution of ITNGP of index \(\ge 4\) in the literature. Thus in this paper we focus to establish the uniqueness of meromorphic functions under the periphery of extended structures of weighted range sets solely from \({\mathbb {C}}\). Consequently, we present four theorems which are totally new of its genre.

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来源期刊
Annali dell''Universita di Ferrara
Annali dell''Universita di Ferrara Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
71
期刊介绍: Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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