具有三次超几何解的二阶微分方程

International Symposium on Symbolic and Algebraic Computation Pub Date : 2013-06-26 DOI:10.1145/2465506.2465953

V. Kunwar, M. V. Hoeij

{"title":"具有三次超几何解的二阶微分方程","authors":"V. Kunwar, M. V. Hoeij","doi":"10.1145/2465506.2465953","DOIUrl":null,"url":null,"abstract":"Let L be a second order linear homogeneous differential equation with rational function coefficients. The goal in this paper is to solve L in terms of hypergeometric function 2F1(a,b;c|f) where f is a rational function of degree 3.","PeriodicalId":243282,"journal":{"name":"International Symposium on Symbolic and Algebraic Computation","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Second order differential equations with hypergeometric solutions of degree three\",\"authors\":\"V. Kunwar, M. V. Hoeij\",\"doi\":\"10.1145/2465506.2465953\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let L be a second order linear homogeneous differential equation with rational function coefficients. The goal in this paper is to solve L in terms of hypergeometric function 2F1(a,b;c|f) where f is a rational function of degree 3.\",\"PeriodicalId\":243282,\"journal\":{\"name\":\"International Symposium on Symbolic and Algebraic Computation\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium on Symbolic and Algebraic Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2465506.2465953\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium on Symbolic and Algebraic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2465506.2465953","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 18

摘要

设L是一个二阶线性齐次微分方程，具有有理函数系数。本文的目标是用超几何函数2F1(a,b;c|f)来求解L，其中f是一个3次有理函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Second order differential equations with hypergeometric solutions of degree three

Let L be a second order linear homogeneous differential equation with rational function coefficients. The goal in this paper is to solve L in terms of hypergeometric function 2F1(a,b;c|f) where f is a rational function of degree 3.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Symposium on Symbolic and Algebraic Computation

自引率

0.00%

发文量