Gelin-Cesaro identities for Fibonacci and Lucas quaternions

被引:1
|
作者
Dasdemir, Ahmet [1 ]
机构
[1] Kastamonu Univ, Dept Math, Kastamonu, Turkey
关键词
Fibonacci quaternion; Gelin-Cesaro identity; Catalan's identity;
D O I
10.2478/aupcsm-2019-0010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesaro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.
引用
收藏
页码:137 / 144
页数:8
相关论文
共 50 条
  • [41] Some identities involving the Fibonacci numbers and Lucas numbers
    Zhang, WP
    FIBONACCI QUARTERLY, 2004, 42 (02): : 149 - 154
  • [42] Some identities involving Fibonacci, Lucas polynomials and their applications
    Wang Tingting
    Zhang Wenpeng
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (01): : 95 - 103
  • [43] Some Trigonometric Identities Involving Fibonacci and Lucas Numbers
    Bibak, Kh.
    Haghighi, M. H. Shirdareh
    JOURNAL OF INTEGER SEQUENCES, 2009, 12 (08)
  • [44] Several identities involving the Fibonacci polynomials and Lucas polynomials
    Zhengang Wu
    Wenpeng Zhang
    Journal of Inequalities and Applications, 2013
  • [45] Fibonacci-Lucas identities and the generalized Trudi formula
    Goy, Taras
    Shattuck, Mark
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (03) : 203 - 217
  • [46] Several identities involving the Fibonacci polynomials and Lucas polynomials
    Wu, Zhengang
    Zhang, Wenpeng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [47] NEW IDENTITIES SATISFIED BY POWERS OF FIBONACCI AND LUCAS NUMBERS
    Melham, R. S.
    FIBONACCI QUARTERLY, 2016, 54 (04): : 296 - 303
  • [48] Some new Fibonacci and Lucas identities by matrix methods
    Keskin, Refik
    Demirturk, Bahar
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2010, 41 (03) : 379 - 387
  • [49] SOME FIBONACCI-LUCAS-TRIBONACCI-TETRANACCI IDENTITIES
    Agrawal, Garvita
    Teeth, Manjeet Singh
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2023, 22 (3-4): : 271 - 277
  • [50] Some identities involving the generalized Fibonacci and Lucas numbers
    Zhao, FZ
    Wang, TM
    ARS COMBINATORIA, 2004, 72 : 311 - 318