On some combinatorial properties of ${P(r,n)}$-Pell quaternions

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

Dorota Bród - Anetta Szynal-Liana

Details:

Year, pages: 2020, 1 - 12

Language: eng

Keywords:

Pell numbers, quaternions, Pell quaternions, recurrence relations

Article type: Mathematics

Document type: Scientific paper

DOI: https://doi.org/10.2478/tmmp-2020-0027

Full text

About article:

In this paper we introduce a new one parameter generalization of the Pell quaternions – $P(r,n)$-Pell quaternions. We give some of their properties, among others the Binet formula, convolution identity and the generating function.

How to cite:

ISO 690:

Bród, D., Szynal-Liana, A. 2020. On some combinatorial properties of ${P(r,n)}$-Pell quaternions. In Tatra Mountains Mathematical Publications, vol. 77, no.3, pp. 1-12. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0027

APA:

Bród, D., Szynal-Liana, A. (2020). On some combinatorial properties of ${P(r,n)}$-Pell quaternions. Tatra Mountains Mathematical Publications, 77(3), 1-12. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0027

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