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On the Perrin Hybrid Quaternions   
Yazarlar (1)
Doç. Dr. Kübra GÜL Doç. Dr. Kübra GÜL
Kafkas Üniversitesi, Türkiye
Devamını Göster
Özet
A quaternion is defined [3] by q= a0+ a1i+ a2j+ a3k, where a0, a1, a2, a3 are real numbers and i, j, k are quaternionic units. Several authors studied on different quaternions and their generalizations, some of which can be found in [1, 2, 4]. A new set of numbers called hybrid numbers are defined in [5] as a generalization of dual numbers, complex numbers and hyperbolic numbers. Since then, the hybrid numbers have been a topic of interest, and some new classes of quaternions and sequences have been studied in [1, 6, 7]. Inspired by these works, we define a new type of quaternions called Perrin hybrid quaternions. We give recurrence relations, Binet-like formulas, generating functions, exponential generating functions and some properties for these quaternions. Then we also define a associate matrix for these quaternions. By the means of this matrix, we also give several identities of these quaternions. We …
Anahtar Kelimeler
Bildiri Türü Tebliğ/Bildiri
Bildiri Alt Türü Özet Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum)
Bildiri Niteliği Alanında Hakemli Uluslararası Kongre/Sempozyum
Bildiri Dili İngilizce
Kongre Adı 4st INTERNATIONAL CONFERENCE ON PURE AND APPLIED MATHEMATİCS
Kongre Tarihi 22-06-2022 / 23-06-2022
Basıldığı Ülke Türkiye
Basıldığı Şehir Van
BM Sürdürülebilir Kalkınma Amaçları
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