Binomial Transforms for Hybrid Numbers Defined Through Fibonacci and Lucas Number Components
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mehmet Zeki SARIKAYA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main purpose of covering this article has been to examine the hybrid numbers defined through Fibonacci and Lucas number components $\{\hat{H}% _{U,n}\}$ and $\{\hat{H}_{V,n}\}$~and their binomial transforms $\{b\hat{H}% _{U,n}\}$ and $\{b\hat{H}_{V,n}\},$ respectively. Firstly, general sum formulas, binomial identities, which are not in the literature yet, about hybrid numbers $\{\hat{H}_{U,n}\}$ and $\{\hat{H}_{V,n}\}$ are discussed. Then, the recurrence relation is obtained for $\{b\hat{H}_{U,n}\}$ and $\{b% \hat{H}_{V,n}\}$ and some results have been found for the new sequence.
Açıklama
Anahtar Kelimeler
Binomial transform|hybrid numbers|Lucas sequences of ?rst and second kind.
Kaynak
Konuralp Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
10
Sayı
2
