{"title":"一个赛琳姐妹式的定求和和积分算法","authors":"B. Zimmermann","doi":"10.1145/990353.990369","DOIUrl":null,"url":null,"abstract":"Sister Celine's method [2] computes a recurrence for a sum or multisum Σ<sup>∞</sup><inf><i>k</i> = 0 <i>f</i>(<i>n, k</i>)</inf> where <i>f</i>(<i>n, k</i>) is a given hypergeometric term. It was generalized to the <i>q</i>-hypergeometric case and to integrals [3].","PeriodicalId":314801,"journal":{"name":"SIGSAM Bull.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Sister Celine type algorithm for definite summation and integration\",\"authors\":\"B. Zimmermann\",\"doi\":\"10.1145/990353.990369\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Sister Celine's method [2] computes a recurrence for a sum or multisum Σ<sup>∞</sup><inf><i>k</i> = 0 <i>f</i>(<i>n, k</i>)</inf> where <i>f</i>(<i>n, k</i>) is a given hypergeometric term. It was generalized to the <i>q</i>-hypergeometric case and to integrals [3].\",\"PeriodicalId\":314801,\"journal\":{\"name\":\"SIGSAM Bull.\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIGSAM Bull.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/990353.990369\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIGSAM Bull.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/990353.990369","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Sister Celine type algorithm for definite summation and integration
Sister Celine's method [2] computes a recurrence for a sum or multisum Σ∞k = 0 f(n, k) where f(n, k) is a given hypergeometric term. It was generalized to the q-hypergeometric case and to integrals [3].
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