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ID 52073
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Author
Farissi, Abdallah El
Belaïdi, Benharrat
Abstract
This paper is devoted to studying the growth of solutions of the higher order nonhomogeneous linear differential equation f(k) + Ak−1f(k−1) + ... + A2f " + (D1 (z) + A1 (z) eP(z)) f ' + (D0 (z) + A0 (z)e Q(z)) f = F (k ≥ 2) , where P (z) , Q(z) are nonconstant polynomials such that deg P = degQ = n and Aj (z) (j = 0, 1, ..., k − 1) , F (z) are entire functions with max{p(Aj) (j = 0, 1, ..., k − 1) , p(Dj) (j = 0, 1)} < n. We also investigate the relationship between small functions and the solutions of the above equation.
Keywords
Linear differential equations
Entire solutions
Order of growth
Exponent of convergence of zeros
Exponent of convergence of distinct zeros
Published Date
2014-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume56
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
129
End Page
143
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2014 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol56/iss1/10
JaLCDOI