On Generalized Pell and Pell–Lucas Numbers

被引：0
|
作者：
Lucyna Trojnar-Spelina
Iwona Włoch
机构：
[1] Rzeszów University of Technology,Department of Discrete Mathematics, Faculty of Mathematics and Applied Physics
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2019年 / 43卷
关键词：
Fibonacci numbers; Pell numbers; Lucas numbers; Pell–Lucas numbers; -Fibonacci numbers; -Pell numbers; 11B37; 11C20; 15B36; 05C69;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
引用
收藏
页码：2871 / 2877
页数：6
相关论文
共 50 条
  • [1] On Generalized Pell and Pell-Lucas Numbers
    Trojnar-Spelina, Lucyna
    Wloch, Iwona
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A6): : 2871 - 2877
  • [2] Convolutions of the Generalized Pell and Pell-Lucas Numbers
    Djordjevic, Gospava B.
    [J]. FILOMAT, 2016, 30 (01) : 105 - 112
  • [3] On generalized (k, r)-Pell and (k, r)-Pell-Lucas numbers
    Kuloglu, Bahar
    ozkan, Engin
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2022, 28 (04) : 765 - 777
  • [4] PERFECT PELL AND PELL-LUCAS NUMBERS
    Bravo, Jhon J.
    Luca, Florian
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2019, 56 (04) : 381 - 387
  • [5] On Pell, Pell-Lucas, and balancing numbers
    Gül Karadeniz Gözeri
    [J]. Journal of Inequalities and Applications, 2018
  • [6] On generalized Pell numbers generated by Fibonacci and Lucas numbers
    Szynal-Liana, Anetta
    Wloch, Andrzej
    Wloch, Iwona
    [J]. ARS COMBINATORIA, 2014, 115 : 411 - 423
  • [7] Pell and Pell-Lucas numbers with applications
    Hajnal, Peter
    [J]. ACTA SCIENTIARUM MATHEMATICARUM, 2016, 82 (3-4): : 695 - 696
  • [8] On Pell, Pell-Lucas, and balancing numbers
    Gozeri, Gul Karadeniz
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [9] On generalized order-k modified Pell and Pell-Lucas numbers in terms of Fibonacci and Lucas numbers
    Dasdemir, Ahmet
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (02) : 205 - 212
  • [10] Pell numbers, Pell-Lucas numbers and modular group
    Mushtaq, Q.
    Hayat, U.
    [J]. ALGEBRA COLLOQUIUM, 2007, 14 (01) : 97 - 102
12345