ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS

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Atıf İçin Kopyala

Eser E., Kuloğlu B., ÖZKAN E.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science, cilt.3, sa.1, ss.129-144, 2023 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 3 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.31926/but.mif.2023.3.65.1.10
• Dergi Adı: Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.129-144
• Anahtar Kelimeler: hybrinomial, Mersenne polynomials, Mersenne sequence, Mersenne-Lucas sequence, quaternions
• Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we introduce Mersenne and Mersenne-Lucas hybrinomial quaternions and present some of their properties. Some identities are derived for these polynomials. Furthermore, we give the Binet formulas, Catalan, Cassini, d’Ocagne identity and generating and exponential generating function of these hybrinomial quaternions.