{"title":"寻找线性一阶递归系统超几何解的直接方法","authors":"J. Middeke, Carsten Schneider","doi":"10.1145/3313880.3313891","DOIUrl":null,"url":null,"abstract":"We establish a connection between the hypergeometric solutions of a first order linear recurrence systems and the determinant of the system matrix. This enables us to find hypergeometric solutions for systems in a way similar to the scalar case. Our result works in the in the single basic and in the multibasic case.","PeriodicalId":7093,"journal":{"name":"ACM Commun. Comput. Algebra","volume":"33 1","pages":"89-91"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems\",\"authors\":\"J. Middeke, Carsten Schneider\",\"doi\":\"10.1145/3313880.3313891\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish a connection between the hypergeometric solutions of a first order linear recurrence systems and the determinant of the system matrix. This enables us to find hypergeometric solutions for systems in a way similar to the scalar case. Our result works in the in the single basic and in the multibasic case.\",\"PeriodicalId\":7093,\"journal\":{\"name\":\"ACM Commun. Comput. Algebra\",\"volume\":\"33 1\",\"pages\":\"89-91\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Commun. Comput. Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3313880.3313891\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Commun. Comput. Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3313880.3313891","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems
We establish a connection between the hypergeometric solutions of a first order linear recurrence systems and the determinant of the system matrix. This enables us to find hypergeometric solutions for systems in a way similar to the scalar case. Our result works in the in the single basic and in the multibasic case.
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