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On the Combinatorial Properties of Bihyperbolic Balancing Numbers

Dorota Bród

Dorota Bród

Department of Discrete Mathematics, Rzeszow University of TechnologyRzeszow, Poland
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Bród, Dorota
, 
Anetta Szynal-Liana

Anetta Szynal-Liana

Department of Discrete Mathematics, Rzeszow University of TechnologyRzeszow, Poland
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Szynal-Liana, Anetta
 and 
Iwona Włoch

Iwona Włoch

Department of Discrete Mathematics, Rzeszow University of TechnologyRzeszow, Poland
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Włoch, Iwona
  
Dec 31, 2020
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Published Online: Dec 31, 2020
Page range: 27 - 38
Received: Apr 07, 2020
DOI: https://doi.org/10.2478/tmmp-2020-0029
Keywords
© 2020 Dorota Bród et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we introduce bihyperbolic balancing and Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities and the generating function.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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