{"title":"广义双复数的同质运动","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":"{\"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}","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}
HOMOTHETIC MOTIONS VIA GENERALIZED BICOMPLEX NUMBERS
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