{"title":"组合等式和超几何函数,II","authors":"Horst Alzer","doi":"10.47443/dml.2023.211","DOIUrl":null,"url":null,"abstract":"Properties of the classical Gaussian hypergeometric function are applied to prove some combinatorial identities. Among others, a corrected and simplified version of a formula of D. Lim [ Notes Number Theory","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combinatorial identities and hypergeometric functions, II\",\"authors\":\"Horst Alzer\",\"doi\":\"10.47443/dml.2023.211\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Properties of the classical Gaussian hypergeometric function are applied to prove some combinatorial identities. Among others, a corrected and simplified version of a formula of D. Lim [ Notes Number Theory\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2023.211\",\"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":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2023.211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
经典高斯超几何函数的性质被用于证明一些组合特性。其中包括 D. Lim 公式的修正和简化版本[《数论笔记》]。
Combinatorial identities and hypergeometric functions, II
Properties of the classical Gaussian hypergeometric function are applied to prove some combinatorial identities. Among others, a corrected and simplified version of a formula of D. Lim [ Notes Number Theory