The uniqueness of entire functions that share a small function with its differential polynomials

被引：0

作者：

Jun, W ^{[1
]}

Yi, HX

机构：

[1] Fudan Univ, Inst Math, Lab Nonlinear Sci Math, Shanghai 200433, Peoples R China

[2] Shandong Univ, Dept Math, Shandong 250100, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2004年 / 35卷 / 09期

关键词：

entire functions; differential polynomial; small function; uniqueness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the relationship between an entire function and its linear differential polynomial when they share one small function by-applying the value distribution theory and complex oscillation theory. As a consequence of the main result, we generalize the study of Gundersen and Yang and the proof is different from theirs.

引用

页码：1119 / 1129

页数：11

共 50 条

[31] 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
[32] On Entire and Meromorphic Functions That Share One Small Function with Their Differential Polynomial
Bhoosnurmath, Subhas S.
Kabbur, Smita R.
INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
[33] Uniqueness polynomials for entire functions
Cherry, W
Wang, JTY
INTERNATIONAL JOURNAL OF MATHEMATICS, 2002, 13 (03) : 323 - 332
[34] UNIQUENESS OF ENTIRE FUNCTION SHARING TWO VALUES JOINTLY WITH ITS DIFFERENTIAL POLYNOMIALS
Haldar, Goutam
HONAM MATHEMATICAL JOURNAL, 2024, 46 (04): : 567 - 586
[35] Results on uniqueness of entire functions whose certain difference polynomials share a small function (vol 41, pg 257, 2015)
Sahoo, P.
Karmakar, H.
ANALYSIS MATHEMATICA, 2017, 43 (04) : 629 - 630
[36] UNIQUENESS OF ENTIRE FUNCTIONS SHARING A VALUE WITH LINEAR DIFFERENTIAL POLYNOMIALS
Lahiri, Indrajit
Mukherjee, Rajib
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 85 (02) : 295 - 306
[37] Entire functions that share one value with their linear differential polynomials
Lue, Feng
Xu, Jun-Feng
Yi, Hong-Xun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) : 615 - 628
[38] Uniqueness of Entire Functions and Differential Polynomials Sharing one Value
Zhang, Xiao-Bin
Meng, Da-Wei
KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (03): : 349 - 363
[39] Results on the Uniqueness of Difference Polynomials With Difference Operator of Entire Functions Sharing Small Function
Chaithra, C. N.
Naveenkumar, S. H.
Rajeshwari, S.
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (02): : 775 - 790
[40] Entire functions that share a small function with their derivatives
Chang, Jianming
Zhu, Yingzhong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 491 - 496

← 1 2 3 4 5 →