Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 1, 2008, pp.123-132
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.1.123

Title & Authors

Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations

Xu, Junfeng; Zhang, Zhanliang;

Xu, Junfeng; Zhang, Zhanliang;

Abstract

In this paper, we investigate higher-order linear differential equations with entire coefficients of iterated order. We improve and extend the result of L. Z. Yang by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the extended Wiman-Valiron theory by Wang and Yi. We also consider the nonhomogeneous linear differential equations.

Keywords

meromorphic function;growth order;Wiman-Valiron theory;

Language

English

Cited by

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