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Publicado en línea: 19 ene 2023
Páginas: 220 - 230
Recibido: 02 ago 2021
DOI: https://doi.org/10.2478/ausm-2022-0014
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© 2022 Dorota Bród et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.