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Acta Universitatis Sapientiae, Mathematica
Volume 14 (2022): Issue 2 (December 2022)
Open Access
Two generalizations of dual-complex Lucas-balancing numbers
Dorota Bród
Dorota Bród
,
Anetta Szynal-Liana
Anetta Szynal-Liana
and
Iwona Włoch
Iwona Włoch
| Jan 19, 2023
Acta Universitatis Sapientiae, Mathematica
Volume 14 (2022): Issue 2 (December 2022)
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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
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.
Dorota Bród
The Faculty of Mathematics and Applied Physics Rzeszow University of Technology
Rzeszów, Poland
Anetta Szynal-Liana
The Faculty of Mathematics and Applied Physics Rzeszow University of Technology
Rzeszów, Poland
Iwona Włoch
The Faculty of Mathematics and Applied Physics Rzeszow University of Technology
Rzeszów, Poland