Results on the Uniqueness of Difference Polynomials With Difference Operator of Entire Functions Sharing Small Function

被引：0

作者：

Chaithra, C. N. ^{[1
]}

Naveenkumar, S. H. ^{[1
]}

Rajeshwari, S. ^{[2
]}

机构：

[1] Presidency Univ, Dept Math, Bengaluru 560064, Karnataka, India

[2] Visvesvaraya Technol Univ, Bangalore Inst Technol, Dept Math, Bengaluru 560004, Karnataka, India

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 02期

关键词：

Uniqueness; Weakly weighted sharing; Relaxed weighted sharing; Entire functions; Small function and difference polynomial with difference operator; MEROMORPHIC FUNCTIONS;

D O I：

10.26713/cma.v14i2.2101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider difference polynomials with difference operators, weakly weighted sharing, and relaxed weighted sharing, we investigate the uniqueness problem of difference polynomials. We use Phi = (Q(f (z))L(triangle(c) f ))((k)) and Psi = (Q(g(z))L(triangle(c)g))((k)). Accordingly, we have proved three uniqueness results, which extends and improves the results due to G. Haldar (Uniqueness of entire functions concerning differential-difference polynomials sharing small functions, arXiv:2103.09889v1 [math.CV], (2021)).

引用

页码：775 / 790

页数：16

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