On Recursive Hyperbolic Fibonacci Quaternions
Yazarlar (1)
Doç. Dr. Ahmet DAŞDEMİR Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
Dergi Adı Communications in Advanced Mathematical Sciences
Dergi ISSN 2651-4001
Dergi Tarandığı Indeksler Index Copernicus
Makale Dili Türkçe Basım Tarihi 12-2021
Kabul Tarihi 01-11-2021 Yayınlanma Tarihi 27-12-2021
Cilt / Sayı / Sayfa 4 / 4 / 199–207 DOI 10.33434/cams.997824
Makale Linki https://dergipark.org.tr/en/download/article-file/1983909
Özet
Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers. This article presents new classes of quaternions whose components are composed of symmetrical hyperbolic Fibonacci functions. In addition, the Binet's formulas, certain generating matrices, generating functions, Cassini's and d'Ocagne's identities for these quaternions are given.
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