{"title":"完备的 q 序列和新的类 Fibonomial 和","authors":"Wenchang Chu , Emrah Kılıç","doi":"10.1016/j.kjs.2024.100266","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their <span><math><mi>q</mi></math></span>-forms and then use known terminating well-poised <span><math><mi>q</mi></math></span>-series identities.</p></div>","PeriodicalId":17848,"journal":{"name":"Kuwait Journal of Science","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2307410824000919/pdfft?md5=071514f01cedb7a8f16b02a6c25cf16e&pid=1-s2.0-S2307410824000919-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Well-poised q-series and new Fibonomial-like sums\",\"authors\":\"Wenchang Chu , Emrah Kılıç\",\"doi\":\"10.1016/j.kjs.2024.100266\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their <span><math><mi>q</mi></math></span>-forms and then use known terminating well-poised <span><math><mi>q</mi></math></span>-series identities.</p></div>\",\"PeriodicalId\":17848,\"journal\":{\"name\":\"Kuwait Journal of Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2307410824000919/pdfft?md5=071514f01cedb7a8f16b02a6c25cf16e&pid=1-s2.0-S2307410824000919-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kuwait Journal of Science\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2307410824000919\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kuwait Journal of Science","FirstCategoryId":"103","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2307410824000919","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their -forms and then use known terminating well-poised -series identities.
期刊介绍:
Kuwait Journal of Science (KJS) is indexed and abstracted by major publishing houses such as Chemical Abstract, Science Citation Index, Current contents, Mathematics Abstract, Micribiological Abstracts etc. KJS publishes peer-review articles in various fields of Science including Mathematics, Computer Science, Physics, Statistics, Biology, Chemistry and Earth & Environmental Sciences. In addition, it also aims to bring the results of scientific research carried out under a variety of intellectual traditions and organizations to the attention of specialized scholarly readership. As such, the publisher expects the submission of original manuscripts which contain analysis and solutions about important theoretical, empirical and normative issues.