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
收藏
页码:775 / 790
页数:16
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