{"title":"整系数为[p，q]-阶线性微分方程的亚纯解","authors":"M. Saidani, B. Belaïdi","doi":"10.1080/1726037X.2017.1413065","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order homogeneous and nonhomogeneous linear differential equations in which the coefficients are entire functions of finite [p, q]-order. We get the results about [p, q]-order and the [p, q]-convergence exponent of solutions for such equations.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"16 1","pages":"33 - 53"},"PeriodicalIF":0.4000,"publicationDate":"2018-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2017.1413065","citationCount":"1","resultStr":"{\"title\":\"Meromorphic solutions to linear differential equations with entire coefficients of [p,q]-order\",\"authors\":\"M. Saidani, B. Belaïdi\",\"doi\":\"10.1080/1726037X.2017.1413065\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order homogeneous and nonhomogeneous linear differential equations in which the coefficients are entire functions of finite [p, q]-order. We get the results about [p, q]-order and the [p, q]-convergence exponent of solutions for such equations.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"16 1\",\"pages\":\"33 - 53\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2018-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2017.1413065\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2017.1413065\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2017.1413065","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Meromorphic solutions to linear differential equations with entire coefficients of [p,q]-order
ABSTRACT In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order homogeneous and nonhomogeneous linear differential equations in which the coefficients are entire functions of finite [p, q]-order. We get the results about [p, q]-order and the [p, q]-convergence exponent of solutions for such equations.
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