On the uniqueness problems of entire functions and their linear differential polynomials

被引：0

作者：

Majumder, Sujoy ^{[1
]}

Sarkar, Nabadwip ^{[1
]}

Das, Pradip ^{[1
]}

机构：

[1] Raiganj Univ, Dept Math, Raiganj 733134, W Bengal, India

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2024年 / 31卷 / 01期

关键词：

Entire functions; uniqueness; Nevanlinna theory; normal family; linear differential polynomials; NORMAL-FAMILIES; SHARE;

D O I：

10.36045/j.bbms.231009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the idea of normal family to investigate the uniqueness problems for entire functions: f shares one finite non -zero value with its first derivative f ( 1 ) together with its certain type of linear differential polynomial L ( f ) of constant coefficients. The results here improve and generalize results obtained by Yang [15], Li and Yang [9] and Li [8].

引用

页码：70 / 86

页数：17

共 50 条

[41] TWO LINEAR POLYNOMIALS SHARED BY AN ENTIRE FUNCTION AND ITS LINEAR DIFFERENTIAL POLYNOMIALS
Ghosh, Goutam Kumar
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (02): : 377 - 387
[42] Uniqueness of Meromorphic Functions Concerning their Differential Polynomials
Lue, Weiran
Wang, Zanchun
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 209 - +
[43] UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
Bhoosnurmath, Surdas S.
Pujari, Veena L.
Patil, Anupama J.
TAMKANG JOURNAL OF MATHEMATICS, 2012, 43 (01): : 51 - 68
[44] Uniqueness of meromorphic functions concerning differential polynomials
QIAO Lei a College of Mathematics and Physics
JournalofChongqingUniversity(EnglishEdition), 2007, (02) : 146 - 150
[45] UNIQUENESS FOR MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
Meng, Chao
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 731 - 738
[46] Uniqueness on linear difference polynomials of meromorphic functions
Zhang, Ran Ran
Chen, Chuang Xin
Huang, Zhi Bo
AIMS MATHEMATICS, 2021, 6 (04): : 3874 - 3888
[47] Results on entire and meromorphic functions that share small function with their homogeneous and linear differential polynomials
Bhoosnurmath, Subhas S.
Shilpa, N.
Barki, Mahesh
TBILISI MATHEMATICAL JOURNAL, 2019, 12 (04) : 227 - 236
[48] Uniqueness for entire function and its linear differential polynomial
1600, (27):
[49] Results on uniqueness of entire functions whose difference polynomials share a polynomial
Sahoo, P.
Karmakar, H.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2017, 52 (02): : 102 - 110
[50] Results on uniqueness of entire functions whose difference polynomials share a polynomial
P. Sahoo
H. Karmakar
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 : 102 - 110

← 1 2 3 4 5 →