q-Leonardo Hyper Dual Numbers

Year 2025, Volume: 13 Issue: 2, 317 - 324, 31.10.2025

Murat Turan , Sıddıka Özkaldı Karakuş

Abstract

In the present paper, the hyper-Dual Leonardo numbers will be introduced with the use of q-integer. Some algebraic properties of these numbers such as recurrence relation, generating function, Honsberger identity, Catalan's identity, Cassini's identity,the Binet's formula and sum formulas will also be obtained.

Keywords

Leonardo numbers , Hyper-Dual number , q-integer , hyper Dual Leonardo numbers

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