{"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}
引用次数: 0
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.
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