On Some Combinatorial Properties of P (r, n)-Pell Quaternions

Dorota Bród; Anetta Szynal-Liana

doi:10.2478/tmmp-2020-0027

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On Some Combinatorial Properties of P (r, n)-Pell Quaternions

Tatra Mountains Mathematical Publications

Volume 77 (2020): Issue 1 (December 2020)

By: Dorota Bród and Anetta Szynal-Liana

Open Access

|Dec 2020

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2020-0027 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 1 - 12

Submitted on: Jun 12, 2019

Published on: Dec 31, 2020

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

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© 2020 Dorota Bród, Anetta Szynal-Liana, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 77 (2020): Issue 1 (December 2020)