A Note on Hyper-Dual Numbers with the Leonardo-Alwyn Sequence

Year 2024, Volume: 16 Issue: 1, 154 - 161, 30.06.2024

Gülsüm Yeliz Saçlı Salim Yüce

https://doi.org/10.47000/tjmcs.1344439

Abstract

We are interested in identifying hyper-dual numbers with the Leonardo-Alwyn sequence components. We investigate their homogeneous and non-homogeneous recurrence relations, the Binet’s formula, and the generating function. With these algebraic properties, we are able to obtain some special cases of hyper-dual numbers with the Leonardo-Alwyn sequence according to $p,q$ and $c$ (multipliers).

Keywords

Leonardo sequence, Recurrence relation, Hyper-dual number

Supporting Institution

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Project Number

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Thanks

Melek Erdoğdu, Türkiye, Necmettin Erbakan Üniversitesi, [e-mail] Ayşe Zeynep Azak, Sakarya Üniversitesi, [e-mail] Firdaus E Udwadia, USA, University of Southern California, [e-mail] Kalika Prasad, India, Central University of Jharkhand, [e-mail]

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