Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2
THE MATRIX SEQUENCE IN TERMS OF BI-PERIODIC FIBONACCI NUMBERS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1939–1949
- DOI
- —
Abstract
In this paper, we deÖne the bi-periodic Fibonacci matrix sequencethat represent bi-periodic Fibonacci numbers. Then, we investigate generatingfunction, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behaviours of bi-periodic Fibonacci numberscan be obtained via the properties of this new matrix sequence. Finally, weexpress that well-known matrix sequences such as Fibonacci, Pell, k-Fibonaccimatrix sequences are special cases of this generalized matrix sequence.