QUATERNIONS WHOSE COMPONENTS ARE BLAISE AND BLAISE-LUCAS NUMBERS

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Uysal M., Özkan E., Soykan Y.

Palestine Journal of Mathematics, cilt.15, sa.1, ss.378-394, 2026 (Scopus)

Özet

n this paper, we introduce a new application of Blaise and Blaise-Lucas numbers.We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some importanttheorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise andBlaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation,roots of the characteristic equation, Binet formula and generating function for these numbers.Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions n this paper, we introduce a new application of Blaise and Blaise-Lucas numbers.We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some importanttheorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise andBlaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation,roots of the characteristic equation, Binet formula and generating function for these numbers.Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions.
In this paper, we introduce a new application of Blaise and Blaise-Lucas numbers. We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some important theorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise and Blaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula and generating function for these numbers. Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions.