QUATERNIONS WHOSE COMPONENTS ARE BLAISE AND BLAISE-LUCAS NUMBERS
Palestine Journal of Mathematics, vol.15, no.1, pp.378-394, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 1
- Publication Date: 2026
- Journal Name: Palestine Journal of Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.378-394
- Open Archive Collection: AVESIS Open Access Collection
- Erzincan Binali Yildirim University Affiliated: Yes
Abstract
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.