The matrix sequence in terms of bi-periodic fibonacci numbers

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Tarih

2019

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.