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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
56巻
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
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol56/iss1/10
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