The matrix sequence in terms of bi-periodic fibonacci numbers
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ANKARA UNIV, FAC SCI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behaviours of bi-periodic Fibonacci numbers can be obtained via the properties of this new matrix sequence. Finally, we express that well-known matrix sequences such as Fibonacci, Pell, k-Fibonacci matrix sequences are special cases of this generalized matrix sequence.
Açıklama
Anahtar Kelimeler
Bi-periodic Fibonacci matrix sequence, bi-periodic Fibonacci numbers, Binet formula, generating function
Kaynak
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
68
Sayı
2
Künye
Coskun, A., Taskara, N. (2019). The Matrix Sequence in terms of Bi-Periodic Fibonacci Numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1939-1949.
