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Horadam Octonions

2016/11/30 by Adnan Karataş, Karataş, Adnan, Serpil Halıcı +1
Social Sciences · #11B39 #17A20 #FOS: Mathematics #Historical and Literary Studies #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1611.10143

openalex publication_date 2016/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.

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