Preprint
Article
On Dual Hyperbolic Generalized Fibonacci Numbers
This version is not peer-reviewed.
Submitted:
14 October 2019
Posted:
16 October 2019
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Abstract
In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's identities and present matrices related with these sequences.
Keywords:
Fibonacci numbers
; Lucas numbers
; dual hyperbolic numbers
; dual hyperbolic Fibonacci numbers
; Cassini identity
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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