{"title":"一类奇异$ _3f_2 $(1)系的评价","authors":"Marta Na Chen, W. Chu","doi":"10.1017/nmj.2022.23","DOIUrl":null,"url":null,"abstract":"Abstract A class of exotic \n$_3F_2(1)$\n -series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these \n$_3F_2(1)$\n -series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"249 1","pages":"107 - 118"},"PeriodicalIF":0.8000,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"EVALUATION OF CERTAIN EXOTIC \\n$_3F_2$\\n (1)-SERIES\",\"authors\":\"Marta Na Chen, W. Chu\",\"doi\":\"10.1017/nmj.2022.23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract A class of exotic \\n$_3F_2(1)$\\n -series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these \\n$_3F_2(1)$\\n -series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.\",\"PeriodicalId\":49785,\"journal\":{\"name\":\"Nagoya Mathematical Journal\",\"volume\":\"249 1\",\"pages\":\"107 - 118\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2022-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nagoya Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/nmj.2022.23\",\"RegionNum\":2,\"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":"Nagoya Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/nmj.2022.23","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract A class of exotic
$_3F_2(1)$
-series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these
$_3F_2(1)$
-series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.
期刊介绍:
The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.