在k-Fibonacci和k-Lucas旋量上

IF 0.4 Q4 MATHEMATICS Notes on Number Theory and Discrete Mathematics Pub Date : 2023-05-09 DOI:10.7546/nntdm.2023.29.2.322-335

Munesh Kumari, K. Prasad, R. Frontczak

{"title":"在k-Fibonacci和k-Lucas旋量上","authors":"Munesh Kumari, K. Prasad, R. Frontczak","doi":"10.7546/nntdm.2023.29.2.322-335","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini’s identity, Catalan’s identity, d’Ocagne’s identity, Vajda’s identity, and Honsberger’s identity. In addition, we discuss their generating functions. Finally, we obtain sum formulae and relations between k-Fibonacci and k-Lucas spinors.","PeriodicalId":44060,"journal":{"name":"Notes on Number Theory and Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the k-Fibonacci and k-Lucas spinors\",\"authors\":\"Munesh Kumari, K. Prasad, R. Frontczak\",\"doi\":\"10.7546/nntdm.2023.29.2.322-335\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini’s identity, Catalan’s identity, d’Ocagne’s identity, Vajda’s identity, and Honsberger’s identity. In addition, we discuss their generating functions. Finally, we obtain sum formulae and relations between k-Fibonacci and k-Lucas spinors.\",\"PeriodicalId\":44060,\"journal\":{\"name\":\"Notes on Number Theory and Discrete Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Number Theory and Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nntdm.2023.29.2.322-335\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Number Theory and Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nntdm.2023.29.2.322-335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 3

摘要

在本文中，我们引入了一个新的序列族，称为k-Fibonacci和k-Lucas旋量。从比奈公式开始，我们给出了它们的基本性质，如卡西尼恒等式、加泰罗尼亚语恒等式、奥卡涅恒等式、瓦伊达恒等式和洪斯伯格恒等式。此外，我们还讨论了它们的生成函数。最后，我们得到了k-Fibonacci和k-Lucas旋量的和公式及它们之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the k-Fibonacci and k-Lucas spinors

In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini’s identity, Catalan’s identity, d’Ocagne’s identity, Vajda’s identity, and Honsberger’s identity. In addition, we discuss their generating functions. Finally, we obtain sum formulae and relations between k-Fibonacci and k-Lucas spinors.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Notes on Number Theory and Discrete Mathematics MATHEMATICS-

自引率

33.30%

发文量

期刊最新文献

On tertions and other algebraic objects On a modification of $\underline{Set}(n)$ The t-Fibonacci sequences in the 2-generator p-groups of nilpotency class 2 On generalized hyperharmonic numbers of order r, H_{n,m}^{r} (\sigma) New Fibonacci-type pulsated sequences