Electron. J. Diff. Equ., Vol. 2012 (2012), No. 195, pp. 1-15.

Solutions for linear differential equations with meromorphic coefficients of (p,q)-order in the plane

Lei-Min Li, Ting-Bin Cao

Abstract:
In this article we study the growth of meromorphic solutions of high order linear differential equations with meromorphic coefficients of (p,q)-order. We extend some previous results due to Belaidi, Cao-Xu-Chen, Kinnunen, Liu- Tu -Shi, and others.

Submitted January 6, 2012. Published November 8, 2012.
Math Subject Classifications: 34M10, 30D35, 34M05.
Key Words: Linear differential equation; meromorphic function; (p,q)-order; Nevanlinna theory.

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Lei-Min Li
Department of Mathematics, Nanchang University
Nanchang, Jiangxi 330031, China
email: leiminli@hotmail.com
Ting-Bin Cao
Department of Mathematics, Nanchang University
Nanchang, Jiangxi 330031, China
email: tbcao@ncu.edu.cn, tingbincao@hotmail.com

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