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Öğe On Leonardo Pisano dual quaternions(Taru Publications, 2024) Dağdeviren, Ali; Kuruz, Ferhat; Catarino, PaulaIn this work, firstly we introduce the Leonardo Pisano dual quaternions combining Leonardo Pisano numbers and dual quaternions. Then we examine some fundamental properties and identities of the Leonardo Pisano dual quaternions, such as recurrence relations, generating function, summing formulas, Binet's formula, Cassini and Catalan's identities.Öğe On Leonardo Pisano Hybrinomials(MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021) Kürüz, Ferhat; Dağdeviren, Ali; Catarino, PaulaA generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials. Furthermore, we also describe the basic algebraic properties and some identities of the Leonardo Pisano polynomials and hybrinomials.