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Two generalizations of dual-complex Lucas-balancing numbers

Dorota Bród

Dorota Bród

The Faculty of Mathematics and Applied Physics, Rzeszow University of TechnologyRzeszów, Poland
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Bród, Dorota
, 
Anetta Szynal-Liana

Anetta Szynal-Liana

The Faculty of Mathematics and Applied Physics, Rzeszow University of TechnologyRzeszów, Poland
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Szynal-Liana, Anetta
 and 
Iwona Włoch

Iwona Włoch

The Faculty of Mathematics and Applied Physics, Rzeszow University of TechnologyRzeszów, Poland
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Włoch, Iwona
  
Jan 19, 2023
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Published Online: Jan 19, 2023
Page range: 220 - 230
Received: Aug 02, 2021
DOI: https://doi.org/10.2478/ausm-2022-0014
Keywords
© 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.

Language:
English
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2 times per year
Journal Subjects:
Mathematics, General Mathematics
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