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

Rok, strany: 2020, 1 - 12

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.

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

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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