Growth of solutions of linear differential equations with meromorphic coefficients of [p, q]-order

Hui Hu; Xiu-Min Zheng

Vol. 19 No. 1 (2014)

Regular Articles

Growth of solutions of linear differential equations with meromorphic coefficients of [p, q]-order

Published 2013-11-09

Hui Hu
Xiu-Min Zheng

Hui Hu

Xiu-Min Zheng
Jiangxi Normal University, Jiangxi Nanchang, China

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Abstract

In this paper, we investigate the growth of meromorphic solutions to complex higher order linear differential equation whose coefficients are meromorphic functions of [p, q]-orders. We get the results about the lower [p, q]-order of the solutions of the equation. Moreover, we investigate the [p,q]-convergence exponent and the lower [p, q]-convergence exponent of distinct zeros of f(z) −$\varphi$(z).

Keywords

(lower) [p, q]-order, q]-type, q]-convergence exponent

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