{"title":"一类线性微分方程解收敛于零序列的结果","authors":"T. Cheng, Zong-Xuan Chen","doi":"10.1080/0278107031000151347","DOIUrl":null,"url":null,"abstract":"In this article we first investigate the zero of the solution of linear differential equation , where are all transcendental entire functions and their orders of growth are less than n. We treat the case where ζ1/ζ2 is not real. It is shown that the exponent of convergence to the zero-sequence of any meromorphic solution of the above equation is infinite.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Result for the convergence to the zero-sequence of the solution of certain linear differential equation\",\"authors\":\"T. Cheng, Zong-Xuan Chen\",\"doi\":\"10.1080/0278107031000151347\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we first investigate the zero of the solution of linear differential equation , where are all transcendental entire functions and their orders of growth are less than n. We treat the case where ζ1/ζ2 is not real. It is shown that the exponent of convergence to the zero-sequence of any meromorphic solution of the above equation is infinite.\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables, Theory and Application: An International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/0278107031000151347\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0278107031000151347","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Result for the convergence to the zero-sequence of the solution of certain linear differential equation
In this article we first investigate the zero of the solution of linear differential equation , where are all transcendental entire functions and their orders of growth are less than n. We treat the case where ζ1/ζ2 is not real. It is shown that the exponent of convergence to the zero-sequence of any meromorphic solution of the above equation is infinite.