{"title":"二阶齐次线性微分方程的解","authors":"Naveen Mehra, S. K. Chanyal","doi":"10.1109/ICCCS55188.2022.10079253","DOIUrl":null,"url":null,"abstract":"In this article, we prove that all non-trivial solutions of $f^{\\prime \\prime}+A(z) f^{\\prime}+B(z) f=0$ are of infinite order, when there are some conditions on entire coefficients $A(z)$ and $B(z)$.","PeriodicalId":149615,"journal":{"name":"2022 7th International Conference on Computing, Communication and Security (ICCCS)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solutions of Second Order Homogenous Linear Differential Equation\",\"authors\":\"Naveen Mehra, S. K. Chanyal\",\"doi\":\"10.1109/ICCCS55188.2022.10079253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we prove that all non-trivial solutions of $f^{\\\\prime \\\\prime}+A(z) f^{\\\\prime}+B(z) f=0$ are of infinite order, when there are some conditions on entire coefficients $A(z)$ and $B(z)$.\",\"PeriodicalId\":149615,\"journal\":{\"name\":\"2022 7th International Conference on Computing, Communication and Security (ICCCS)\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 7th International Conference on Computing, Communication and Security (ICCCS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCCS55188.2022.10079253\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 7th International Conference on Computing, Communication and Security (ICCCS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCCS55188.2022.10079253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solutions of Second Order Homogenous Linear Differential Equation
In this article, we prove that all non-trivial solutions of $f^{\prime \prime}+A(z) f^{\prime}+B(z) f=0$ are of infinite order, when there are some conditions on entire coefficients $A(z)$ and $B(z)$.