Hybrid Leonardo numbers

Yasemin Alp and E. Gokcen Kocer

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: Until today, many researchers have studied related to hybrid numbers which are a generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo numbers, we introduce the hybrid Leonardo numbers. Also, we give some algebraic properties of the hybrid Leonardo numbers such as recurrence relation, generating function, Binet’s formula, sum formulas, Catalan’s identity and Cassini’s identity.

Keywords: Fibonacci numbers; Hybrid numbers; Leonardo numbers (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004823

DOI: 10.1016/j.chaos.2021.111128

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