{"title":"HOMOTHETIC MOTIONS VIA GENERALIZED BICOMPLEX NUMBERS","authors":"Ferdağ Kahraman Aksoyak, Siddika Ozkaldi Karakus","doi":"10.22190/fumi200604021a","DOIUrl":null,"url":null,"abstract":"In this paper, by using the matrix representation of generalized bicomplexnumbers, we dene the homothetic motions on some hypersurfaces infour dimensional generalized linear space R4 alpha-beta. Also, for some special cases we give some examples of homothetic motions in R4 and R42and obtainsome rotational matrices, too. So, we investigate some applications about kinematics of generalized bicomplex numbers","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"33 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi200604021a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, by using the matrix representation of generalized bicomplexnumbers, we dene the homothetic motions on some hypersurfaces infour dimensional generalized linear space R4 alpha-beta. Also, for some special cases we give some examples of homothetic motions in R4 and R42and obtainsome rotational matrices, too. So, we investigate some applications about kinematics of generalized bicomplex numbers