{"title":"Summation formulas for a class of terminating $$_4\\phi _3$$ -series","authors":"Xu Yong, Wenlong Zhang","doi":"10.1007/s11139-024-00857-y","DOIUrl":null,"url":null,"abstract":"<p>In this paper we investigate a class of terminating <span>\\(_4\\phi _3\\)</span>-series. By utilizing the Carlitz inversion and four contiguous relations for the <span>\\(\\Omega _{\\lambda ,\\mu }\\)</span>-series, many new summation formulas for terminating <span>\\(_4\\phi _3\\)</span>-series are obtained.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"152 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Ramanujan Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11139-024-00857-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we investigate a class of terminating \(_4\phi _3\)-series. By utilizing the Carlitz inversion and four contiguous relations for the \(\Omega _{\lambda ,\mu }\)-series, many new summation formulas for terminating \(_4\phi _3\)-series are obtained.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
