<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.</p>
</abstract>

In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.

Two generalizations of dual-complex Lucas-balancing numbers

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Two generalizations of dual-complex Lucas-balancing numbers"}

In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing...

Two generalizations of dual-complex Lucas-balancing numbers

Published Online: Jan 19, 2023

Page range: 220 - 230

Received: Aug 02, 2021

DOI: https://doi.org/10.2478/ausm-2022-0014

Keywords
Lucas-balancing numbers, Diophantine equation, dual-complex numbers, Binet formula, Catalan identity

© 2022 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Two generalizations of dual-complex Lucas-balancing numbers

Published Online: Jan 19, 2023

Page range: 220 - 230

Received: Aug 02, 2021

DOI: https://doi.org/10.2478/ausm-2022-0014

KeywordsLucas-balancing numbers, Diophantine equation, dual-complex numbers, Binet formula, Catalan identity

© 2022 Dorota Bród et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Lucas-balancing numbers, Diophantine equation, dual-complex numbers, Binet formula, Catalan identity