Uniqueness of meromorphic functions sharing sets with its linear difference polynomials

被引：3

作者：

Haldar, Goutam ^{[1
]}

机构：

[1] Malda Coll, Dept Math, Malda 732101, W Bengal, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 02期

关键词：

Meromorphic function; Shift operator; Linear difference operator; weighted sharing; SUFFICIENT CONDITIONS; PERIODICITY; UNICITY;

D O I：

10.1007/s41478-022-00495-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the uniqueness property of meromorphic functions that share two sets with finite weight with its linear difference polynomials. Using the polynomial introduced in Banerjee and Ahamed (FILOMAT 33(18) 6055-6072, 2019), we have improved the result of Li and Chen (Abstr Appl Anal 2014(Article ID 894968):7, 2014) in the sense of reducing cardinalities of the main set S and the associated weights. Some examples have been exhibited to validate our certain claims in the main result.

引用

页码：1011 / 1027

页数：17

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