Original scientific paper

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

Hui Hu ; Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, P. R. China
Xiu-Min Zheng ; Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, P. R. China

Abstract

In this paper, we investigate the growth of meromorphic solutions to a 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 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; (lower) [p; q]-type; (lower) [p; q]-convergence exponent

Hrčak ID:

121823

URI

https://hrcak.srce.hr/121823

Publication date:

26.5.2014.

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