Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight

被引：0
作者：
Haldar, Goutam [1 ]
机构：
[1] Malda Coll, Dept Math, Rabindra Ave, Malda 732101, W Bengal, India
来源：
CUBO-A MATHEMATICAL JOURNAL | 2022年 / 24卷 / 01期
关键词：
Entire function; difference polynomial; shift and difference operator; weighted sharing; MEROMORPHIC FUNCTIONS; SHIFTS; VALUES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight. Our result improves and extends some recent results due to Sahoo-Karmakar [J. Cont. Math. Anal. 52(2) (2017), 102-110] and that of Li et al. [Bull. Malays. Math. Sci. Soc., 39 (2016), 499-515]. Some examples have been exhibited which are relevant to the content of the paper.
引用
收藏
页码：167 / 186
页数：20
相关论文
共 44 条
[31]   Value sharing results for shifts of meromorphic functions [J].
Luo, Xudan ;
Lin, Wei-Chuan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) :441-449
[32]  
Mohonko A.Z., 1971, FUNCT ANAL APPL+, V14, P83
[33]   Results on uniqueness of entire functions whose difference polynomials share a polynomial [J].
Sahoo, P. ;
Karmakar, H. .
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2017, 52 (02) :102-110
[34]   Uniqueness of Meromorphic Functions Sharing a Nonzero Polynomial with Finite Weight [J].
Sahoo, Pulak ;
Seikh, Sajahan .
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2013, 34 (01) :106-115
[35]  
Sahoo P, 2013, MAT VESTN, V65, P151
[36]  
Schweizer A., ARXIV170505048V2
[37]  
Yang C.-C, 2003, UNIQUENESS THEORY ME, V557
[38]  
Yang CC, 1997, ANN ACAD SCI FENN-M, V22, P395
[39]   On analogies between nonlinear difference and differential equations [J].
Yang, Chung-Chun ;
Laine, Ilpo .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2010, 86 (01) :10A-14A
[40]  
Yang L., 1993, Value Distribution Theory
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