<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we introduce a generalization of Jacobsthal hybrid numbers – <italic>J</italic>(<italic>r, n</italic>)-Jacobsthal hybrid numbers. We give some of their properties: character, Binet’s formula, a summation formula and a generating function.</p></abstract>

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.

On <italic>J</italic>(<italic>r, n</italic>)-Jacobsthal Hybrid Numbers

Tatra Mountains Mathematical Publications

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

{"article-title":{"italic":["J","r, n"],"content":["On","(",")-Jacobsthal Hybrid Numbers"]}}

In this paper we introduce a generalization of Jacobsthal hybrid numbers – J(r, n)-Jacobsthal hybrid numbers. We give some of their properties: character,...

On J(r, n)-Jacobsthal Hybrid Numbers

Published Online: Dec 31, 2020

Page range: 13 - 26

Received: Feb 23, 2020

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

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

© 2020 Dorota Bród et al., published by Sciendo

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

On J(r, n)-Jacobsthal Hybrid Numbers

Published Online: Dec 31, 2020

Page range: 13 - 26

Received: Feb 23, 2020

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

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

© 2020 Dorota Bród et al., published by Sciendo

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

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