INVESTIGATING GENERALIZED QUATERNIONS WITH DUAL-GENERALIZED COMPLEX NUMBERS

被引：0
|
作者：
Gurses, Nurten [1 ]
Senturk, Gulsum Yeliz [2 ]
Yuce, Salim [1 ]
机构：
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34220 Istanbul, Turkey
[2] Istanbul Gelisim Univ, Fac Engn & Architecture, Dept Comp Engn, TR-34310 Istanbul, Turkey
来源：
MATHEMATICA BOHEMICA | 2020年 / 148卷 / 03期
关键词：
generalized quaternion; dual-generalized complex number; matrix representation;
D O I：
10.21136/MB.2022.0096-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values alpha, beta and p. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.
引用
收藏
页码：329 / 348
页数：20
相关论文
共 50 条
  • [1] On a generalization of dual-generalized complex Fibonacci quaternions
    Tan, Elif
    Ocal, Umut
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (04) : 635 - 646
  • [2] BRINGING TOGETHER DUAL-GENERALIZED COMPLEX NUMBERS AND DUAL QUATERNIONS VIA FIBONACCI AND LUCAS NUMBERS
    Gurses, Nurten
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (03): : 21 - 34
  • [3] Construction of dual-generalized complex Fibonacci and Lucas quaternions
    Senturk, G. Y.
    Gurses, N.
    Yuce, S.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2022, 14 (02) : 406 - 418
  • [4] A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
    Gurses, Nurten
    Senturk, Gulsum Yeliz
    Yuce, Salim
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2021, 34 (01): : 180 - 194
  • [5] ON UNRESTRICTED DUAL-GENERALIZED COMPLEX HORADAM NUMBERS
    Ait-Amrane, N. Rosa
    Tan, Elif
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (02): : 517 - 528
  • [6] A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers
    Gurses, Nurten
    Senturk, Gulsum Yeliz
    Yuce, Salim
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2022, 40 (01): : 179 - 187
  • [7] Similarity relations and exponential of dual-generalized complex matrices
    Gurses, Nurten
    Senturk, Gulsum Yeliz
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (03): : 145 - 166
  • [8] Generalized Dual Fibonacci Quaternions
    Yuce, Salim
    Aydin, Fugen Torunbalci
    APPLIED MATHEMATICS E-NOTES, 2016, 16 : 276 - 289
  • [9] On the theory of numbers and generalized quaternions.
    Dickson, LE
    AMERICAN JOURNAL OF MATHEMATICS, 1924, 46 : 1 - 16
  • [10] A Different Polar Representation for Generalized and Generalized Dual Quaternions
    Erhan Ata
    Yasemin Yıldırım
    Advances in Applied Clifford Algebras, 2018, 28
12345