Symmetry
(Nov 2020)
Two Generalizations of Dual-Hyperbolic Balancing Numbers
Dorota Bród,
Anetta Szynal-Liana,
Iwona Włoch
Affiliations
Dorota Bród
The Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
Anetta Szynal-Liana
The Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
Iwona Włoch
The Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
DOI
https://doi.org/10.3390/sym12111866
Journal volume & issue
Vol. 12,
no. 11
Abstract
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In this paper, we study two generalizations of dual-hyperbolic balancing numbers: dual-hyperbolic Horadam numbers and dual-hyperbolic k-balancing numbers. We give Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity for them.
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