Well-poised q-series and new Fibonomial-like sums

IF 1.2 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES
Wenchang Chu , Emrah Kılıç
{"title":"Well-poised q-series and new Fibonomial-like sums","authors":"Wenchang Chu ,&nbsp;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}
引用次数: 0

Abstract

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 q-forms and then use known terminating well-poised q-series identities.

完备的 q 序列和新的类 Fibonomial 和
我们将介绍涉及两个 Fibonomial/Lucanomial 系数的乘积或两个此类系数在第三个系数上的商的各种求和公式。为了证明这些求和公式,我们将把它们转换成它们的 q 形式,然后使用已知的终止良好的 q 序列同素异形。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Kuwait Journal of Science
Kuwait Journal of Science MULTIDISCIPLINARY SCIENCES-
CiteScore
1.60
自引率
28.60%
发文量
132
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.
文献相关原料
公司名称 产品信息 采购帮参考价格
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信