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

Abstract

In this study, the Gaussian (𝑠�,𝑡�)-Pell and Pell-Lucas sequences are defined. Moreover, by using these sequences, the Gaussian (𝑠�,𝑡�)-Pell and Pell-Lucas matrix sequences are defined. Furthermore, generating functions, Binet’s formulas and some summation formulas of these sequences are given. Finally, some relationships between Gaussian (𝑠�,𝑡�)-Pell and Pell-Lucas matrix sequences are obtained.