Gauss (𝒔, 𝒕)-Pell ve Pell-Lucas Dizileri ve Matris Gösterimleri

Yıl 2019, , 46 - 59, 12.03.2019

Nusret Karaaslan , Tülay Yağmur

https://doi.org/10.17798/bitlisfen.470181

Cited By: 3

Öz

Bu
çalışmada, Gauss (s,t)-Pell
ve Gauss(s,t)-Pell-Lucas
dizilerini tanımladık. Sonra, bu dizileri kullanarak Gauss (s,t)-Pell
ve Gauss (s,t)-Pell-Lucas
matris dizilerini tanımladık. Daha sonra, bu dizilerin üreteç fonksiyonlarını,
Binet formüllerini ve bazı toplam formüllerini verdik. Son olarak, Gauss (s,t)-Pell ve Gauss (s,t)-Pell-Lucas matris dizileri arasında bazı ilişkileri elde
ettik.

Anahtar Kelimeler

(s;t)-Pell dizisi, Gauss Pell dizisi, (s;t)-Gauss Pell dizisi, (s;t)-Gauss Pell matris dizisi

Gaussian (𝒔, 𝒕)-Pell and Pell-Lucas Sequences and Their Matrix Representations

Öz

In this study, we define the Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas sequences. Then, by using
these sequences we define Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas matrix sequences. Thereafter,
we give generating functions, Binet’s formulas and some summation formulas of
these sequences. Finally, we obtain some 
relationships between Gaussian (s,t)-Pell and Gaussian (s,t)-Pell-Lucas matrix sequences.

Anahtar Kelimeler

(s;t)-Pell sequence, Gaussian Pell sequence, (s;t)-Gaussian Pell sequence, (s;t)-Gaussian Pell matrix sequence

Kaynakça

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