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

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).