Incomplete k-Pell, k-Pell-Lucas and modified k-Pell numbers

被引:7
|
作者
Catarino, Paula [1 ]
Campos, Helena [1 ]
机构
[1] Univ Tras os Montes & Alto Douro UTAD, Dept Math, P-5000801 Vila Real, Portugal
来源
关键词
Incomplete Pell numbers; Incomplete Pell -Lucasnumbers; Incomplete Modified Pell numbers; k-Pell; k-Pell-Lucas and Modified k-Pell numbers; GENERALIZED FIBONACCI; PRODUCTS; SUMS;
D O I
10.15672/HJMS.20164518616
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, it is defined the incomplete k-Pell, k-Pell-Lucas and Modified k-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
引用
收藏
页码:361 / 372
页数:12
相关论文
共 50 条
  • [1] 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)
  • [2] k-Pell, k-Pell-Lucas and modified k-Pell sedenions
    Catarino, Paula
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (02)
  • [3] 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
  • [4] 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
  • [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] On k-Pell hybrid numbers
    Catarino, Paula
    [J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (01): : 83 - 89
  • [9] The Modified Pell and the Modified k-Pell Quaternions and Octonions
    Catarino, Paula
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 577 - 590
  • [10] Bicomplex k-Pell Quaternions
    Catarino, Paula
    [J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (01) : 65 - 76