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

Authors : Gülsüm Yeliz Saçlı, Salim Yüce

Pages : 154-161

Doi:10.47000/tjmcs.1344439

View : 69 | Download : 81

Publication Date : 2024-06-30

Article Type : Research Paper

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