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On the combinatorial properties of bihyperbolic balancing numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20

In: Tatra Mountains Mathematical Publications, vol. 77, no. 3
Dorota Bród - Anetta Szynal-Liana - Iwona Włoch
Detaily:
Rok, strany: 2020, 27 - 38
Jazyk: eng
Kľúčové slová:
balancing numbers, Lucas-balancing numbers, Binet formula, hyperbolic numbers, bihyperbolic numbers, recurrence relations
Typ článku: Mathematics
Typ dokumentu: Scientific paper
O článku:
In this paper, we introduce bihyperbolic balancing and Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d'Ocagne identities and the generating function.
Ako citovať:
ISO 690:
Bród, D., Szynal-Liana, A., Włoch, I. 2020. On the combinatorial properties of bihyperbolic balancing numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20. In Tatra Mountains Mathematical Publications, vol. 77, no.3, pp. 27-38. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0029

APA:
Bród, D., Szynal-Liana, A., Włoch, I. (2020). On the combinatorial properties of bihyperbolic balancing numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20. Tatra Mountains Mathematical Publications, 77(3), 27-38. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0029
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 20. 12. 2020
Verejná licencia:
The Creative Commons Attribution-NC-ND 4.0 International Public License