user

Bidimensional extensions of balancing and Lucas-balancing numbers

被引：1
|
作者：
Chimpanzo, J. [1 ]
Catarino, P. [2 ]
Vasco, P. [2 ]
Borges, A. [2 ]
机构：
[1] Higher Polytech Inst Soyo, Dept Exact Sci, Soyo, Zaire Angola, Angola
[2] Univ Tras os Montes & Alto Douro, Dept Math, P-5001801 Vila Real, Portugal
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2024年 / 27卷 / 01期
关键词：
Balancing numbers; Lucas-balancing numbers; Square triangular numbers; Bidimensional recurrence relations; PELL;
D O I：
10.47974/JDMSC-1574
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.
引用
收藏
页码：95 / 115
页数：21
相关论文
共 50 条
  • [41] Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers
    Chimpanzo, J.
    Otero-Espinar, M. V.
    Borges, A.
    Vasco, P.
    Catarino, P.
    ANNALES MATHEMATICAE SILESIANAE, 2024, 38 (02) : 221 - 240
  • [42] On Pell, Pell-Lucas, and balancing numbers
    Gül Karadeniz Gözeri
    Journal of Inequalities and Applications, 2018
  • [43] On Pell, Pell-Lucas, and balancing numbers
    Gozeri, Gul Karadeniz
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [44] Spinor algebra of k-balancing and k-Lucas-balancing numbers
    Prasad, Kalika
    Kumari, Munesh
    Mohanty, Ritanjali
    Mahato, Hrishikesh
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [45] Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers
    Prasad, Kalika
    Kumari, Munesh
    Tanti, Jagmohan
    JOURNAL OF ANALYSIS, 2024, 32 (03): : 1281 - 1296
  • [46] Generalized k-Balancing and k-Lucas Balancing Numbers and Associated Polynomials
    Prasad, Kalika
    Kumari, Munesh
    Tanti, Jagmohan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2023, 63 (04): : 539 - 550
  • [47] Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes
    Ray, Prasanta Kumar
    AIMS MATHEMATICS, 2019, 4 (02): : 308 - 315
  • [48] Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials
    Hussen, Abdulmtalb
    Illafe, Mohamed
    MATHEMATICS, 2023, 11 (24)
  • [49] Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers
    Patra, Asim
    Pita-Ruiz, Claudio
    Patel, Bijan Kumar
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02):
  • [50] Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers
    Asim Patra
    Claudio Pita-Ruiz
    Bijan Kumar Patel
    Boletín de la Sociedad Matemática Mexicana, 2022, 28
12345