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

Hui Hu, Xiu-Min Zheng


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).


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)