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Browsing by Subject "order of growth"

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    Item type:Article, Access status: Open Access ,
    On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations
    (Wydawnictwa AGH, 2017) Hamani, Karima; Belaïdi, Benharrat
    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.