Abstract
In this paper, the authors present a closed formula for the Horadam polynomials in terms of a tridiagonal determinant and, as applications of the newly-established closed formula for the Horadam polynomials, derive closed formulas for the generalized Fibonacci polynomials, the Lucas polynomials, the Pell-Lucas polynomials, and the Chebyshev polynomials of the first kind in terms of tridiagonal determinants.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
closed formula Horadam polynomial tridiagonal determinant generalized Fibonacci polynomial Lucas polynomial Pell-Lucas polynomial Chebyshev polynomial of the first kind Chebyshev polynomial of the second kind 11B39 11B83 11C20 11Y55 26A06 26A09 26C05