On the Order, Type and Zeros of Meromorphic Functions and Analytic Functions of [p, q]-Order in the Unit Disc

Abstract

In this paper, the authors investigate the [p, q]-order and [p, q]-type of f1 +f2, f1f2, f1/f2, where f1, f2 are meromorphic functions or analytic functions with the same [p, q]-order and different [p, q]-type in the unit disc, and the authors also study the [p, q]-order and [p, q]-type of f and its derivative. At the end, the authors investigate the relationship between two different [p, q]-convergence exponents of f. The obtained results are the improvements and supplements to many previous results.