ON GROWTH PROPERTIES OF TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF HIGHER ORDER

被引：4

作者：

Biswas, Nityagopal ^{[1
]}

Datta, Sanjib Kumar ^{[1
]}

Tamang, Samten ^{[2
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

[2] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

来源：

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

关键词：

linear differential equations; meromorphic function; p; q]-order; non-decreasing unbounded function;

D O I：

10.4134/CKMS.c180448

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of [p, q] - phi order, phi being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.

引用

页码：1245 / 1259

页数：15

共 50 条

[1] GROWTH OF TRANSCENDENTAL SOLUTIONS TO HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Hamani, Karima
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[2] On the Growth of Higher Order Complex Linear Differential Equations Solutions with Entire and Meromorphic Coefficients
Sanchez Ruiz, Luis Manuel
Datta, Sanjib Kumar
Tamang, Samten
Biswas, Nityagopal
MATHEMATICS, 2021, 9 (01) : 1 - 10
[3] ON THE GROWTH AND THE ZEROS OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
Andasmas, Maamar
Belaidi, Benharrat
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2015, 98 (112): : 199 - 210
[4] ON THE GROWTH OF SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
Saidani, M.
Belaidi, B.
UFA MATHEMATICAL JOURNAL, 2018, 10 (01): : 115 - 134
[5] GROWTH OF SOLUTIONS TO HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Habib, Habib
Belaidi, Benharrat
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[6] On the Growth of Solutions of Some Higher Order Linear Differential Equations With Entire Coefficients
Habib, Habib
Belaidi, Benharrat
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (93) : 1 - 13
[7] MEROMORPHIC SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF [P,Q]-ORDER
Saidani, Mansouria
Belaidi, Benharrat
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2018, 16 (01) : 33 - 53
[8] Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients
Chen Zongxuan
Gao Shian Department of Mathematics Jiangxi Normal University Nanchang China Department of Mathematics South China Normal University Guangzhou China
Acta Mathematica Sinica(New Series), 1997, 13 (04) : 453 - 464
[9] Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients
Chen Zongxuan
Gao Shian Department of Mathematics
Acta Mathematica Sinica,English Series, 1997, (04) : 453 - 464
[10] Entire solutions of differential equations with finite order transcendental entire coefficients
Chen Zongxuan
Gao Shian
Acta Mathematica Sinica, 1997, 13 (4) : 453 - 464

← 1 2 3 4 5 →