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Gaussian (????, ????)-Pell and Pell-Lucas Sequences and Their Matrix Representations
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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.
Bitlis Eren Universitesi Fen Bilimleri Dergisi
Title: Gaussian (????, ????)-Pell and Pell-Lucas Sequences and Their Matrix Representations
Description:
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.
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