On ${J(r,n)}$-Jacobsthal Hybrid Numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20

In: Tatra Mountains Mathematical Publications, vol. 77, no. 3

Dorota Bród - Anetta Szynal-Liana

Details:

Year, pages: 2020, 13 - 26

Language: eng

Keywords:

Jacobsthal numbers, recurrence relations, complex numbers, hyperbolic numbers, dual numbers, hybrid numbers

Article type: Mathematics

Document type: Scientific paper

DOI: https://doi.org/10.2478/tmmp-2020-0028

Full text

About article:

In this paper we introduce a generalization of Jacobsthal hybrid numbers – $J(r,n)$-Jacobsthal hybrid numbers. We give some of their properties: character, Binet's formula, a summation formula and a generating function.

How to cite:

ISO 690:

Bród, D., Szynal-Liana, A. 2020. On ${J(r,n)}$-Jacobsthal Hybrid Numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20. In Tatra Mountains Mathematical Publications, vol. 77, no.3, pp. 13-26. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0028

APA:

Bród, D., Szynal-Liana, A. (2020). On ${J(r,n)}$-Jacobsthal Hybrid Numbers: Tatra Mt. Math. Publ. Number Theory and Cryptology '20. Tatra Mountains Mathematical Publications, 77(3), 13-26. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0028

About edition:

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Published: 20. 12. 2020

Rights:

The Creative Commons Attribution-NC-ND 4.0 International Public License