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On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations

Hamani K., Belaidi B.

Opuscula Mathematica

2017

Vol. 37, no. 6

853--874

In this paper, we investigate the growth of meromorphic solutions of the linear differential equation [formula] where k ≥ 2 is an integer, Pj(z) (j = 0,1,... , k — 1) are nonconstant polynomials and hj(z) are meromorphic functions. Under some conditions, we determine the hyper-order of these solutions. We also consider nonhomogeneous linear differential equations.