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.
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