RELATION BETWEEN SMALL FUNCTIONS WITH DIFFERENTIAL POLYNOMIALS GENERATED BY MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Belaidi, Benharrat ^{[1
]}

Latreuch, Zinelaabidine ^{[1
]}

机构：

[1] Univ Mostaganem UMAB, Dept Math, Lab Pure & Appl Math, BP 227, Mostaganem, Algeria

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 01期

关键词：

Linear differential equations; Differential polynomials; Meromorphic solutions; Iterated order; Iterated exponent of convergence of the sequence of distinct zeros; download;

D O I：

10.5937/KgJMath1401147B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to studying the growth and oscillation of higher order differential polynomial with meromorphic coefficients generated by meromorphic solutions of the linear differential equation f((k))+ A(z). f =0 (k> 2), where A is a meromorphic function in the complex plane.

引用

页码：147 / 161

页数：15

共 17 条

[1] BANK SB, 1972, COMPOS MATH, V25, P61
[2] Bclaidi B., 2008, ACTA MATH U COMENIAN, V77, P263
[3] COMPLEX OSCILLATION OF DIFFERENTIAL POLYNOMIALS GENERATED BY MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
Belaidi, Benharrat
[J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2011, 90 (104): : 125 - 133
[4] ON GROWTH K-ORDER OF SOLUTIONS OF A COMPLEX HOMOGENEOUS LINEAR-DIFFERENTIAL EQUATION
BERNAL, LG
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 101 (02) : 317 - 322
[5] Cao T.-B., 2005, ANN DIFF EQS, V21, P111
[6] Cao TB, 2011, MATH COMMUN, V16, P205
[7] On the complex oscillation of differential polynomials generated by meromorphic solutions of differential equations in the unit disc
Cao, Ting-Bin
Xu, Hong-Yan
Zhu, Chuan-Xi
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2010, 120 (04): : 481 - 493
[8] On the meromorphic solutions of linear differential equations on the complex plane
Cao, Ting-Bin
Xu, Jun-Feng
Chen, Zong-Xuan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (01) : 130 - 142
[9] Hayman W K., 1964, MEROMORPHIC FUNCTION
[10] Kinnunen L., 1998, SE ASIAN B MATH, V22, P385

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