On the uniqueness of two different classes of meromorphic functions under the sharing of two sets of rational functions

被引：1

作者：

Banerjee, Abhijit ^{[1
]}

Kundu, Arpita ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

来源：

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2022年 / 26卷 / 01期

关键词：

Meromorphic function; uniqueness; shared sets; rational function; L-function;

D O I：

10.12697/ACUTM.2022.26.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the uniqueness problem of two special classes of meromorphic functions sharing two sets of rational functions. One of the considered classes has the property to include the Selberg class L functions, while the other class is comprising of arbitrary meromorphic functions having finitely many poles. We obtain a number of results which extend and improve a number of earlier results such as Li [Proc. Amer. Math. Soc. 138 (2010), 2071-2077], Lin and Lin [Filomat 30 (2016), 3795-3806] and others. We have also been able to replace the strict CM (IM) sharing of the sets in our theorems to almost CM (almost IM) sharing.

引用

页码：5 / 23

页数：19