<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we introduce a new one parameter generalization of the Pell quaternions – <italic>P</italic> (<italic>r, n</italic>)-Pell quaternions. We give some of their properties, among others the Binet formula, convolution identity and the generating function.</p></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.

On Some Combinatorial Properties of <italic>P</italic> (<italic>r, n</italic>)-Pell Quaternions

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Combinatorial Properties of  ()-Pell Quaternions

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...

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

Published Online: Dec 31, 2020

Page range: 1 - 12

Received: Jun 12, 2019

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

Keywords
Pell numbers, quaternions, Pell quaternions, recurrence relations

© 2020 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 31, 2020

Page range: 1 - 12

Received: Jun 12, 2019

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

KeywordsPell numbers, quaternions, Pell quaternions, recurrence relations

© 2020 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Pell numbers, quaternions, Pell quaternions, recurrence relations