Growth properties of solutions of complex differential equations with entire coefficients of finite (alpha,beta,gamma)-order

Author:

Belaidi Benharrat,Biswas Tanmay

Abstract

In this article, we investigate the complex higher order linear differential equations in which the coefficients are entire functions of (α, β, γ)-order and obtain some results which improve and generalize some previous results of Tu et al. [29] as well as Belaidi [1, 2, 3].

Publisher

Texas State University

Subject

Analysis

Reference34 articles.

1. B. Belaïdi, S. Hamouda; Orders of solutions of an n-th order linear differential equation with entire coefficients. Electron. J. Differential Equations, 2001, No. 61, 5 pp.

2. B. Belaïdi; Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions. Electron. J. Qual. Theory Differ. Equ., 2002, no. 5, 8 pp. https://doi.org/10.14232/ejqtde.2002.1.5

3. B. Belaïdi; Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients. JIPAM. J. Inequal. Pure Appl. Math., 5 (2004), no. 2, Article 40, 9 pp.

4. B. Belaïdi; Growth of ρϕ-order solutions of linear differential equations with entire coefficients. PanAmer. Math. J., 27 (2017), no. 4, 26-42.

5. B. Belaïdi; Fast growing solutions to linear differential equations with entire coefficients having the same ρϕ-order. J. Math. Appl., 42 (2019), 63-77. https://doi.org/10.7862/rf.2019.4

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