On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums
Yükleniyor...
Dosyalar
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Formulas and sums involving many well-known special quaternion sequences (such as the Fibonacci, Pell, Jacobsthal quaternion sequences and so on) play important roles in various branches of science. Binet formulas, generating functions and certain sums of these quaternion sequences based on Fibonacci-like numbers have been investigated by a number of authors in many different ways. In this paper, which is a sequel to earlier works, we first introduce a new class of (p, q)-Fibonacci quaternions which generalizes Fibonacci, Pell, and Jacobsthal quaternions, and then we derive a new Binet formula, generating functions, and certain binomial sums for these quaternions.
Açıklama
WOS:000401669000029
Anahtar Kelimeler
Fibonacci Quaternion, Binet Formula, Generating Function, Binomial Sum
Kaynak
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
27
Sayı
2
Künye
İpek, A. (2017). On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums. Advances in Applied Clifford Algebras, 27, 2, 1343-1351.
