ID | 52073 |
FullText URL | |
Author |
Farissi, Abdallah El
Belaïdi, Benharrat
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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.
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Keywords | Linear differential equations
Entire solutions
Order of growth
Exponent of convergence of zeros
Exponent of convergence of distinct zeros
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Published Date | 2014-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume56
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 129
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End Page | 143
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2014 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol56/iss1/10
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JaLCDOI |