Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main object of the study is to consider the binomial transform for quadra Fibona-Pell sequence and quadra Fibona-Pell quaternion. In the paper, which consists of two parts in terms of the results found, the first step was taken for the sequence by defining the binomial transform for the quadra Fibona-Pell sequence in the first part and then finding the recurrence relation of this new binomial transform. Then, the Binet formula, generating function and various sum formulas of the sequence were found. In the second part, the binomial transform is applied for the quadra Fibona-Pell quaternion, which was discussed in a thesis before. Similar results in the first section are covered in the quaternion binomial transform. © 2022, Emrah Evren KARA. All rights reserved.
Açıklama
Anahtar Kelimeler
Binomial transform, Fibonacci sequence, Pell sequence, Quaternion
Kaynak
Universal Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
5
Sayı
4
