{"title":"On the Order of Growth of Solutions to Complex Non-homogeneous Linear Differential Equations","authors":"H. Habib, B. Belaïdi","doi":"10.5666/KMJ.2016.56.3.819","DOIUrl":null,"url":null,"abstract":"In this paper, we study the order of growth of solutions to the nonhomogeneous linear differential equation f (k) +Ak−1e f (k−1) + · · ·+A1ef ′ +A0ef = F1e + F2e, where Aj (z) ( 6≡ 0) (j = 0, 1, · · · , k − 1), Fj (z) ( 6≡ 0) (j = 1, 2) are entire functions and a, b are complex numbers such that ab (a− b) 6= 0.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5666/KMJ.2016.56.3.819","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we study the order of growth of solutions to the nonhomogeneous linear differential equation f (k) +Ak−1e f (k−1) + · · ·+A1ef ′ +A0ef = F1e + F2e, where Aj (z) ( 6≡ 0) (j = 0, 1, · · · , k − 1), Fj (z) ( 6≡ 0) (j = 1, 2) are entire functions and a, b are complex numbers such that ab (a− b) 6= 0.
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