@Article{Hamani2017,
author = "Hamani, Karima and Belaïdi, Benharrat",
title = "On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations",
journal = "Opuscula Math.",
year = "2017",
volume = "37",
number = "6",
pages = "853--874",
doi = "http://dx.doi.org/10.7494/OpMath.2017.37.6.853",
url = "http://dx.doi.org/10.7494/OpMath.2017.37.6.853",
abstract = "In this paper, we investigate the growth of meromorphic solutions of the linear differential equation \[f^{(k)}+h_{k-1}(z)e^{P_{k-1}(z)}f^{(k-1)}+\ldots +h_{0}(z)e^{P_{0}(z)}f=0,\] where \(k\geq 2\) is an integer, \(P_{j}(z)\) (\(j=0,1,\ldots ,k-1\)) are nonconstant polynomials and \(h_{j}(z)\) are meromorphic functions. Under some conditions, we determine the hyper-order of these solutions. We also consider nonhomogeneous linear differential equations.",
keywords = "linear differential equation, transcendental meromorphic function, order of growth, hyper-order",
issn = "1232-9274"
}