On Generating Tridiagonal Matrices of Generalized (s,t)-Pell, (s,t)-Pell Lucas and (s,t)-Modified Pell Sequences-Reference-Cited by-同舟云学术

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On Generating Tridiagonal Matrices of Generalized (s,t)-Pell, (s,t)-Pell Lucas and (s,t)-Modified Pell Sequences

Published:2021-08-12 Issue: Volume: Page:229-249
ISSN:2581-8147
Container-title:Earthline Journal of Mathematical Sciences
language:en
Short-container-title:EJMS

Author:

Uygun S.

Abstract

In this study, we define some tridigional matrices depending on two real parameters. By using the determinant of these matrices, the elements of (s,t)-Pell, (s,t)-Pell Lucas and (s,t)-modified Pell sequences with even or odd indices are generated. Then we construct the inverse matrices of these tridigional matrices. We also investigate eigenvalues of these matrices.

Publisher

Earthline Publishers

Reference14 articles.

1. A. F. Horadam and Bro. J. M. Mahon, Pell and Pell Lucas polynomials, The Fibonacci Quarterly 23(1) (1985), 7-20.

2. S. F. Santana and J. L. Diaz-Barrero, Some properties of sums involving Pell numbers, Missouri J. Math. Sci. 18(1) (2006), 33-40. https://doi.org/10.35834/2006/1801033

3. H. H. Gulec and N. Taskara, On the (s,t)-Pell and (s,t)-Pell-Lucas sequences and their matrix representations, Applied Mathematics Letters 25(10) (2012), 1554-1559.

4. N. Karaarslan and T. Yağmur, (s,t)-modified Pell sequence and its matrix representation, Erzincan University Journal of Science and Technology 12(2) (2019), 863-873.

5. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1991.

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