ID | 52073 |
フルテキストURL | |
著者 |
Farissi, Abdallah El
Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB)
Belaïdi, Benharrat
Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB)
|
抄録 | 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.
|
キーワード | Linear differential equations
Entire solutions
Order of growth
Exponent of convergence of zeros
Exponent of convergence of distinct zeros
|
発行日 | 2014-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 56巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 129
|
終了ページ | 143
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
著作権者 | Copyright©2014 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
|
査読 |
有り
|
Submission Path | mjou/vol56/iss1/10
|
JaLCDOI |