<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

Publié en ligne: 19 janv. 2023

Pages: 220 - 230

Reçu: 02 août 2021

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

Mots clés
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

Publié en ligne: 19 janv. 2023

Pages: 220 - 230

Reçu: 02 août 2021

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

Mots clésLucas-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.

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