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
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