ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS


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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) identifier

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.