Uniqueness of meromorphic functions concerning the set sharing of two finite sets

被引：0

作者：

Halder, Samar ^{[1
]}

机构：

[1] JIS Coll Engn, Dept Math, Kalyani 741235, West Bengal, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2025年 / 74卷 / 01期

关键词：

Meromorphic function; Weighted sharing; Set sharing; Order; Uniqueness;

D O I：

10.1007/s12215-024-01155-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the uniqueness problem of meromorphic functions sharing two finite sets of values. The results proved in this paper significantly extend and also improve in some sense the results of Chen [3] and Chen [2], which were actually proved as an answer of a generalised version of a question asked in [9]. Some examples have also been provided in support of the accuracy of certain conditions used in the paper.

引用

页数：13

共 16 条

[1] On the uniqueness of two different classes of meromorphic functions under the sharing of two sets of rational functions
Banerjee, Abhijit
Kundu, Arpita
[J]. ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (01): : 5 - 23
[2] Meromorphic functions sharing unique range sets with one or two elements
Chen, Jun-Fan
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (03) : 349 - 354
[3] Uniqueness of meromorphic functions sharing two finite sets
Chen, Jun-Fan
[J]. OPEN MATHEMATICS, 2017, 15 : 1244 - 1250
[4] Conway J. B., 1973, FUNCTIONS ONE COMPLE
[5] EXCEPTIONAL VALUES OF DIFFERENTIAL POLYNOMIALS
DOERINGER, W
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1982, 98 (01) : 55 - 62
[6] Fang ML, 1997, Analysis, V17, P355, DOI DOI 10.1524/ANLY.1997.17.4.355
[7] Frank G., 1998, Complex Var. Theory Appl, V37, P185, DOI DOI 10.1080/17476939808815132
[8] On uniqueness of meromorphic functions sharing finite sets
Fujimoto, H
[J]. AMERICAN JOURNAL OF MATHEMATICS, 2000, 122 (06) : 1175 - 1203
[9] Gross F., 1977, LECT NOTES MATH, V599, P51, DOI DOI 10.1007/BFB0096825
[10] Hayman WK., 1964, Meromorphic Functions

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