k-Pell, k-Pell-Lucas and modified k-Pell sedenions

被引：4
|
作者：
Catarino, Paula [1 ]
机构：
[1] Univ Tras Os Montes & Alto Douro, UTAD, Dept Math, P-5001801 Vila Real, Portugal
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 12卷 / 02期
关键词：
k-Pell numbers; k-Pell-Lucas numbers; modified k-Pell numbers; sedenions; generating functions; FIBONACCI;
D O I：
10.1142/S1793557119500189
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this work is to present the k-Pell, the k-Pell-Lucas and the Modified k-Pell sedenions and we give some properties involving these sequences, including the Binet-style formulae and the ordinary generating functions.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Incomplete k-Pell, k-Pell-Lucas and modified k-Pell numbers
    Catarino, Paula
    Campos, Helena
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2017, 46 (03): : 361 - 372
  • [2] Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence
    Tastan, Merve
    Ozkan, Engin
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (01) : 198 - 207
  • [3] On Hybrid Hyper k-Pell, k-Pell-Lucas, and Modified k-Pell Numbers
    Spreafico, Elen Viviani Pereira
    Catarino, Paula
    Vasco, Paulo
    [J]. AXIOMS, 2023, 12 (11)
  • [4] A NOTE ON k-PELL, k-PELL-LUCAS AND MODIFIED k-PELL NUMBERS WITH ARITHMETIC INDEXES
    Catarino, P.
    Campos, H.
    Vasco, P.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2020, 89 (01): : 97 - 107
  • [5] SUMS AND PRODUCTS INVOLVING TERMS OF k-PELL, k-PELL-LUCAS AND MODIFIED k-PELL SEQUENCES
    Vasco, Paulo
    Catarino, Paula
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2014, 32 (02): : 87 - 98
  • [6] DIAGONAL FUNCTIONS OF THE k-PELL AND k-PELL-LUCAS POLYNOMIALS AND SOME IDENTITIES
    Catarino, P.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2018, 87 (01): : 147 - 159
  • [7] The Modified Pell and the Modified k-Pell Quaternions and Octonions
    Paula Catarino
    [J]. Advances in Applied Clifford Algebras, 2016, 26 : 577 - 590
  • [8] The Modified Pell and the Modified k-Pell Quaternions and Octonions
    Catarino, Paula
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 577 - 590
  • [9] Bicomplex k-Pell Quaternions
    Catarino, Paula
    [J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (01) : 65 - 76
  • [10] Bicomplex k-Pell Quaternions
    Paula Catarino
    [J]. Computational Methods and Function Theory, 2019, 19 : 65 - 76
12345