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

[21] The Separation of Zeros of Solutions of Higher Order Linear Differential Equations With Entire Coefficients
Abdullah Alotaibi
J. K. Langley
Results in Mathematics, 2013, 63 : 1365 - 1373
[22] Growth of solutions of linear differential equations with meromorphic coefficients of [p,q]-order
Hu, Hui
Zheng, Xiu-Min
MATHEMATICAL COMMUNICATIONS, 2014, 19 (01) : 29 - 42
[23] THE　ZERO　AND　ORDER　OF　SOME　SECOND　ORDER　LINEAR　DIFFERENTIAL　EQUATIONS　WITH　TRANSCENDENTAL　MEROMORPHIC　COEFFICIENTS
CHEN ZONGXUAN
AppliedMathematics:AJournalofChineseUniversities(SeriesB), 1994, (04) : 365 - 374
[24] Growth and fixed points of meromorphic solutions of higher order linear differential equations
Habib, Habib
Belaidi, Benharrat
ANNALES POLONICI MATHEMATICI, 2013, 107 (03) : 243 - 257
[25] INFINITE ORDER OF GROWTH OF SOLUTIONS TO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Mahmoudi, Sofiane
Hamouda, Saada
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 89 : 115 - 124
[26] Growth of Solutions of Second Order Complex Linear Differential Equations with Entire Coefficients
Long, Jianren
FILOMAT, 2018, 32 (01) : 275 - 284
[27] On the Growth of Solutions of Some Second Order Linear Differential Equations With Entire Coefficients
Belaidi, Benharrat
Habib, Habib
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (02): : 35 - 52
[28] GROWTH OF SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Hu, Hui
Zheng, Xiu-Min
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[29] Entire solutions of higher order differential equations with entire coefficients having the same order
Ziheng Feng
Zhibo Huang
Yezhou Li
Acta Mathematica Scientia, 2024, 44 : 355 - 368
[30] Entire solutions of higher order differential equations with entire coefficients having the same order
Feng, Ziheng
Huang, Zhibo
Li, Yezhou
ACTA MATHEMATICA SCIENTIA, 2024, 44 (01) : 355 - 368

← 1 2 3 4 5 →