{"title":"Complex Narayana Quaternions","authors":"Çağla Çelemoğlu","doi":"10.1134/s0965542524700738","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summation formulas for these sequences. Finally, we obtain a matrix representation of complex Narayana quaternions and make an application related to the matrix representation of complex Narayana quaternions.</p>","PeriodicalId":55230,"journal":{"name":"Computational Mathematics and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Mathematics and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0965542524700738","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summation formulas for these sequences. Finally, we obtain a matrix representation of complex Narayana quaternions and make an application related to the matrix representation of complex Narayana quaternions.
期刊介绍：
Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
