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

Abstract

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.

Keywords

• (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

Abstract

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.

Keywords

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

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