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Mathematics 2019, 7(2), 136; https://doi.org/10.3390/math7020136

On the (p, q)–Chebyshev Polynomials and Related Polynomials

1
Faculty of Art and Science, Department of Mathematics, Zonguldak Bülent Ecevit University, Zonguldak 67100, Turkey
2
Faculty of Science, Department of Mathematics, Gazi University, Teknikokullar, Ankara 06500, Turkey
*
Author to whom correspondence should be addressed.
Received: 19 December 2018 / Revised: 28 January 2019 / Accepted: 29 January 2019 / Published: 1 February 2019
(This article belongs to the Special Issue Special Polynomials)
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Abstract

In this paper, we introduce ( p , q ) –Chebyshev polynomials of the first and second kind that reduces the ( p , q ) –Fibonacci and the ( p , q ) –Lucas polynomials. These polynomials have explicit forms and generating functions are given. Then, derivative properties between these first and second kind polynomials, determinant representations, multilateral and multilinear generating functions are derived. View Full-Text
Keywords: (p, q)–Chebyshev polynomials; (p, q)–Fibonacci polynomials; multilateral generating functions; multilinear generating functions. (p, q)–Chebyshev polynomials; (p, q)–Fibonacci polynomials; multilateral generating functions; multilinear generating functions.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kızılateş, C.; Tuğlu, N.; Çekim, B. On the (p, q)–Chebyshev Polynomials and Related Polynomials. Mathematics 2019, 7, 136.

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