Gauss (?, ?)-Pell ve Pell-Lucas Dizileri ve Matris Gösterimleri

Bu çalışmada, Gauss (?,?)-Pell ve Pell-Lucas dizileri tanımlanmıştır. Dahası, bu dizileri kullanarak Gauss (?,?)- Pell ve Pell-Lucas matris dizileri tanımlanmıştır. Ayrıca, bu dizilerin üreteç fonksiyonları, Binet formülleri ve bazı toplam formülleri verilmiştir. Son olarak, Gauss (?,?)-Pell ve Pell-Lucas matris dizileri arasında bazı ilişkiler elde edilmiştir.

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

In this study, the Gaussian (?,?)-Pell and Pell-Lucas sequences are defined. Moreover, by using these sequences,the Gaussian (?,?)-Pell and Pell-Lucas matrix sequences are defined. Furthermore, generating functions, Binet’sformulas and some summation formulas of these sequences are given. Finally, some relationships betweenGaussian (?,?)-Pell and Pell-Lucas matrix sequences are obtained.

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