Supaknaree Sattaso, P. Prasertsang, T. Prasertsang
{"title":"用$G_{\\alpha}$-变换研究多项式系数高阶微分方程","authors":"Supaknaree Sattaso, P. Prasertsang, T. Prasertsang","doi":"10.29020/nybg.ejpam.v16i3.4792","DOIUrl":null,"url":null,"abstract":"In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Using $G_{\\\\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients\",\"authors\":\"Supaknaree Sattaso, P. Prasertsang, T. Prasertsang\",\"doi\":\"10.29020/nybg.ejpam.v16i3.4792\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\\\\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v16i3.4792\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v16i3.4792","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients
In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.
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