Split Pell and Pell-Lucas Quaternions

被引：15
|
作者：
Tokeser, Umit [1 ]
Unal, Zafer [1 ]
Bilgici, Goksal [2 ]
机构：
[1] Kastamonu Univ, Fac Arts & Sci, Dept Math, Kastamonu, Turkey
[2] Kastamonu Univ, Dept Comp Educ & Instruct Technol, Educ Fac, Kastamonu, Turkey
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 02期
关键词：
Split Pell quaternions; Split Pell-Lucas quaternions; Split quaternions; K-FIBONACCI;
D O I：
10.1007/s00006-016-0747-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to introduce split Pell and split Pell-Lucas quaternions. We give generating functions and Binet formulas for these numbers. Also, we obtain many identities for split Pell and split Pell-Lucas quaternions including Catalan's identity, Cassini's identity and d'Ocagne's identity.
引用
收藏
页码：1881 / 1893
页数：13
相关论文
共 50 条
  • [31] ON GENERALIZED LUCAS AND PELL-LUCAS SEQUENCES
    Tasci, Dursun
    Tas, Zisan Kusaksiz
    [J]. JOURNAL OF SCIENCE AND ARTS, 2019, (03): : 637 - 646
  • [32] REPDIGITS AS DIFFERENCE OF TWO PELL OR PELL-LUCAS NUMBERS
    Erduvan, Fatih
    Keskin, Refik
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (01): : 63 - 73
  • [33] Pell and Pell-Lucas numbers as difference of two repdigits
    Edjeou, Bilizimbeye
    Faye, Bernadette
    [J]. AFRIKA MATEMATIKA, 2023, 34 (04)
  • [34] HYPERBOLIC ARCTANGENT SUMMATIONS OF PELL AND PELL-LUCAS POLYNOMIALS
    Guo, Dongwei
    Chu, Wenchang
    [J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2024, 115 (129): : 77 - 100
  • [35] Pell numbers, Pell-Lucas numbers and modular group
    Mushtaq, Q.
    Hayat, U.
    [J]. ALGEBRA COLLOQUIUM, 2007, 14 (01) : 97 - 102
  • [36] A Pell-Lucas Computation of Pi
    Ohtsuka, Hideyuki
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2020, 127 (07): : 666 - 666
  • [37] Gaussian Pell-Lucas Polynomials
    Yagmur, Tulay
    [J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (04): : 673 - 679
  • [38] Pell and Pell-Lucas numbers with only one distinct digit
    Faye, Bernadette
    Luca, Florian
    [J]. ANNALES MATHEMATICAE ET INFORMATICAE, 2015, 45 : 55 - 60
  • [39] Inverse tangent series involving pell and pell-lucas polynomials
    Guo, Dongwei
    Chu, Wenchang
    [J]. MATHEMATICA SLOVACA, 2022, 72 (04) : 869 - 884
  • [40] The Pell and Pell-Lucas Numbers via Square Roots of Matrices
    Arslan, Saadet
    Koken, Fikri
    [J]. JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES, 2016, 8 (03): : 159 - 166
12345