Binomial sum formulas from the exponential generating functions of (P, q)−fibonacci and (p, q)−lucas quaternions
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Palestine Polytechnic University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we obtain some binomial sum formulas for (p, q)-Fibonacci and (p, q)-Lucas quaternions, by using the exponential generating functions. By this way we ex-amine formulas for Q2n+r, K2n+r, pnQn+r, pnKn+r, Qmn, Kmn and far more than these, where Qn and Kn are the n-th (p, q)-Fibonacci and (p, q)-Lucas quaternions, respectively with p, q arbitrary nonzero real numbers. © Palestine Polytechnic University-PPU 2021.
Açıklama
Anahtar Kelimeler
Generalized Fibonacci numbers, Generalized Lucas numbers, Generalized quaternions, Generating functions
