{"title":"一类非终结3F2(1)-系列的连续值","authors":"Marta Na Chen, W. Chu","doi":"10.1080/10652469.2022.2149746","DOIUrl":null,"url":null,"abstract":"By employing the linearization method and partial fractions, we examine a large class of nonterminating exotic -series extended by five integer parameters. A general summation formula is proved, and several contiguous series are evaluated in closed form.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"457 - 468"},"PeriodicalIF":0.7000,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Contiguous values for a class of nonterminating 3F2(1)-series\",\"authors\":\"Marta Na Chen, W. Chu\",\"doi\":\"10.1080/10652469.2022.2149746\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By employing the linearization method and partial fractions, we examine a large class of nonterminating exotic -series extended by five integer parameters. A general summation formula is proved, and several contiguous series are evaluated in closed form.\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"34 1\",\"pages\":\"457 - 468\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2022.2149746\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2022.2149746","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Contiguous values for a class of nonterminating 3F2(1)-series
By employing the linearization method and partial fractions, we examine a large class of nonterminating exotic -series extended by five integer parameters. A general summation formula is proved, and several contiguous series are evaluated in closed form.
期刊介绍:
Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.