Two Generalizations of Dual-Hyperbolic Balancing Numbers

Two Generalizations of Dual-Hyperbolic Balancing Numbers

In this paper, we study two generalizations of dual-hyperbolic balancing numbers: dual-hyperbolic Horadam numbers and dual-hyperbolic <i>k</i>-balancing numbers. We give Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity for them.

Bibliographic Details
Main Authors: Dorota Bród, Anetta Szynal-Liana, Iwona Włoch
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Symmetry
Subjects:
balancing numbers
Diophantine equation
dual-hyperbolic numbers
Binet formula
Catalan’s identity
Online Access:https://www.mdpi.com/2073-8994/12/11/1866

Internet

https://www.mdpi.com/2073-8994/12/11/1866

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