Matrix Sequences in Terms of Gaussian Pell Polynomial, Gaussian Modified Pell Polynomial, Gaussian Pell Number, Gaussian Pell-Lucas Number, Gaussian Modified Pell Number, Pell Polynomial, Pell-Lucas Polynomial and Modified Pell Polynomial
Abstract
In this paper, we study Gaussian Pell polynomial, Gaussian modified Pell polynomial, Gaussian Pell, Gaussian Pell-Lucas, Gaussian modified Pell, Pell polynomial, Pell-Lucas polynomial, and modified Pell polynomial matrix sequences. Furthermore, we prove some identities of the relation between matrix sequences and summations. Keywords : recurrence relations ; matrix sequences ; Binet’s formulas ; nth termsReferences
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Yagmur, T. & Karaaslan, N. (2018). Gaussian Modified Pell Sequence and Gaussian Modified Pell Polynomial Sequence. Aksaray University Jourmal of Science and Engineering, 2(1), 63 – 72.
Gulec, H.H. & Taskara, N. (2012). On the (s,t)-Pell and (s,t)- Pell-Lucas Sequences and Their Matrix Representations. Applied Mathematics Letters, 25(10), 1554 – 1559.
Halici, S. & Öz, S. (2016). On Some Gaussian Pell and Pell-Lucas Numbers. Ordu University Journal of Science and Tecnology, 6(1), 8 – 18.
Halici, S. & Oz, S. (2018). On Gaussian Pell Polynomials and Their Some Properties. Palestine Jourmal of mathematies, 7(1), 251 – 256.
Horadam, A. F. (1961). A Generalized Fibonacci Sequence. The American Mathematical Monthly, 68(5),
p. 455 – 459.
Horadam, A.F. & Mahon, Bro.J.M. (1985). Pell and Pell-Lucas Polynomials. The Fibonacci Quarterly , 23(1),
7 – 20.
Horadam, A.F. (1984). Pell Numbers and Coaxal Circles. The Fibonacci Quarterly , 22(4), 324 – 326.
Karaaslan, N. (2019). A Note on Modified Pell Polynomials. Aksaray University Jourmal of Science and Engineering, 3(1), 1 – 7.
Yagmur, T. & Karaaslan, N. (2018). Gaussian Modified Pell Sequence and Gaussian Modified Pell Polynomial Sequence. Aksaray University Jourmal of Science and Engineering, 2(1), 63 – 72.
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Published
2021-01-25
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Research Article
