复非齐次线性微分方程解的生长阶

IF 0.6 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.819

H. Habib, B. Belaïdi

{"title":"复非齐次线性微分方程解的生长阶","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":46188,"journal":{"name":"Kyungpook Mathematical Journal","volume":"56 1","pages":"819-829"},"PeriodicalIF":0.6000,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":46188,\"journal\":{\"name\":\"Kyungpook Mathematical Journal\",\"volume\":\"56 1\",\"pages\":\"819-829\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2016-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kyungpook Mathematical Journal\",\"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\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyungpook Mathematical Journal","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":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文研究了非齐次线性微分方程f (k) +Ak−1e f (k−1)+···+A1ef′+A0ef = F1e + F2e解的生长阶，其中Aj (z)(6≡0)(j = 0,1，···，k−1)，Fj (z)(6≡0)(j = 1,2)是整函数，a, b是复数，使得ab (a−b) 6= 0。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the Order of Growth of Solutions to Complex Non-homogeneous Linear Differential Equations

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.