A NOTE ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS

被引：10

作者：

Bhoosnurmath, Subhas S. ^{[1
]}

Chakraborty, Bikash ^{[2
]}

Srivastava, Hari M. ^{[3
,4
]}

机构：

[1] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India

[2] Ramakrishna Mission Vivekananda Centenary Coll, Dept Math, Kolkata 700118, W Bengal, India

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[4] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung 40402, Taiwan

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 04期

关键词：

transcendental meromorphic function; differential polynomials;

D O I：

10.4134/CKMS.c180378

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a transcendental meromorphic function, defined in the complex plane C. In this paper, we give a quantitative estimations of the characteristic function T(r, f) in terms of the counting function of a homogeneous differential polynomial generated by f. Our result improves and generalizes some recent results.

引用

页码：1145 / 1155

页数：11

共 50 条

[41] Fix-points of certain differential polynomials
Subhas S. Bhoosnurmath
Chhaya M. Hombali
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1998, 108 : 121 - 131
[42] Unicity of meromorphic functions and their linear differential polynomials
Wang, Chenguang
Han, Qi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[43] Auxiliary differential polynomials for the first Painleve hierarchy
Sasaki, Yoshikatsu
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2015, 91 (01) : 7 - 8
[44] UNIQUENESS FOR MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
Meng, Chao
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 731 - 738
[45] UNIQUENESS OF ENTIRE FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
Li, Jiang-Tao
Li, Ping
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (02): : 93 - 101
[46] COMPLEX OSCILLATION OF DIFFERENTIAL POLYNOMIALS GENERATED BY MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
Belaidi, Benharrat
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2011, 90 (104): : 125 - 133
[47] A PRECISE INEQUALITY OF DIFFERENTIAL POLYNOMIALS RELATED TO SMALL FUNCTIONS
Xu, Junfeng
Yi, Hongxun
JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (04): : 971 - 976
[48] On differential polynomials, fixpoints and critical values of meromorphic functions
Langley J.K.
Results in Mathematics, 1999, 35 (3-4) : 284 - 309
[49] Pairs of Non-Homogeneous Linear Differential Polynomials
Buck, Matthew
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2011, 11 (01) : 283 - 300
[50] The fixed points and iterated order of some differential polynomials
Belaidi, Benharrat
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2009, 50 (02): : 209 - 219

← 1 2 3 4 5 →