On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions

被引:0
|
作者
Devi, B. Malini [1 ]
Devibala, S. [1 ]
机构
[1] Sri Meenakshi Govt Arts Coll Women A, Dept Math, Madurai 625002, Tamil Nadu, India
关键词
Binet formula; Hybrid numbers; Mersenne sequence; Mersenne-Lucas sequence; Quaternions; JACOBSTHAL;
D O I
10.21123/bsj.2023.8429
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
引用
收藏
页码:311 / 317
页数:7
相关论文
共 50 条
  • [1] ON MERSENNE AND MERSENNE -LUCAS SEDENIONS
    Devi, B. Malini
    Devibala, S.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (01): : 383 - 392
  • [2] Hyperbolic k-Mersenne and k-Mersenne-Lucas Quaternions with it's associated Spinor algebra
    Mohanty, Ritanjali
    Mahato, Hrishikesh
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024,
  • [3] Gaussian Mersenne numbers and generalized Mersenne quaternions
    Dasdemir, Ahmet
    Bilgici, Goksal
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019, 25 (03) : 87 - 96
  • [4] Fast algorithm for "error-free" convolution computation using Mersenne-Lucas codes
    Chernov, VV
    CHAOS SOLITONS & FRACTALS, 2006, 29 (02) : 372 - 380
  • [5] k-Mersenne and k-Mersenne-Lucas sedenions
    Gursoy, Ismail G.
    Bektas, Ozcan
    Senyurt, Suleyman
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 18 (01) : 101 - 114
  • [6] ON THE k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS
    Kumari, M.
    Prasad, K.
    Mahato, H.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (03): : 1218 - 1230
  • [7] MERSENNE NUMBERS IN GENERALIZED LUCAS SEQUENCES
    Altassan, Alaa
    Alan, Murat
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2024, 77 (01): : 3 - 10
  • [8] On the bivariate Mersenne Lucas polynomials and their properties
    Saba, Nabiha
    Boussayoud, Ali
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [9] On the k-Mersenne-Lucas numbers
    Chelgham, Mourad
    Boussayoud, Ali
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (01) : 7 - 13
  • [10] QUASIPARALLEL ALGORITHM FOR ERROR-FREE CONVOLUTION COMPUTATION USING REDU.ED MERSENNE-LUCAS CODES
    Chernov, V. M.
    COMPUTER OPTICS, 2015, 39 (02) : 241 - 248