Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-1_002
تاریخ نمایه سازی: 6 تیر 1401
Abstract:
We study on Jacobsthal and Jacobsthal-Lucas generalized octonions over the algebra O(a,b,c) where a,b and c are real numbers. We present Binet formulas for these types of octonions. Furthermore, we give some well-known identities such as Catalan's, Cassini's, d'Ocagne's identities and other special identities for Jacobsthal and Jacobsthal-Lucas generalized octonions.
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Authors
Tuğba Mert
Mathematics, Faculity of Science, Cumhuriyet University, Sivas, Turkey
Zafer Unal
Department of Mathematics, Faculty of Arts and Sciences,Kastamonu University, Kastamonu, Turkey
Umit Tokeşer
Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Kastamonu, Turkey
Goksal Bilgici
Department of Computer Education and Instructional Technology , Education Faculty, Kastamonu University, Kastamonu, Turkey