Quaternions via generalized Fibonacci and Lucas number components

Basit Öğe Kaydı
dc.authorscopusid37019990800
dc.authorscopusid57211048844
dc.contributor.authorBitim, Bahar Demirtürk
dc.contributor.authorTopal, Nazım
dc.date.accessioned2022-02-15T16:57:25Z
dc.date.available2022-02-15T16:57:25Z
dc.date.issued2019
dc.departmentBakırçay Üniversitesien_US
dc.description.abstractIn this paper, we derive some combinatorial properties of generalized Fibonacci quaternion Q(n) and generalized Lucas quaternion K-n, where the components of Q(n) and K-n are generalized Fibonacci number U-n and generalized Lucas number V-n, respectively. Firstly, we obtain some basic identities and use them to prove Catalan identity for Q(n) and K-n. Then we find some sum formulas Sigma(n)(i=0)Qmi+r, Sigma(n)(i=0)Kmi+r, Sigma(n)(i=0)((n)(i))p(i) q(n-i)Q(i) and Sigma(n)(i=0)((n)(i))p(i) q(n-i)K(i) in terms of Q(n) and K-n. Moreover, we derive the generating functions of these generalized quaternions.en_US
dc.identifier.endpage247en_US
dc.identifier.issn1582-3067
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85072381997en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage239en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14034/154
dc.identifier.volume21en_US
dc.identifier.wosWOS:000475672400008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEditura Acad Romaneen_US
dc.relation.journalMathematical Reportsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectgeneralized Fibonacci numbersen_US
dc.subjectgeneralized Lucas numbersen_US
dc.subjectgeneralized quaternionsen_US
dc.subjectgenerating functionsen_US
dc.titleQuaternions via generalized Fibonacci and Lucas number componentsen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
QUATERNIONS VIA GENERALIZED FIBONACCI.pdf
Boyut:
293.78 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam metin / Full text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
Temel Bilimler Bölümü Bölümü Koleksiyonu