On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2017-01-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol37/6/art/opuscula_math_3746.pdf |