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

Can Kızılateş, Naim Tuğlu and Bayram Çekim
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Can Kızılateş: Faculty of Art and Science, Department of Mathematics, Zonguldak Bülent Ecevit University, Zonguldak 67100, Turkey
Naim Tuğlu: Faculty of Science, Department of Mathematics, Gazi University, Teknikokullar, Ankara 06500, Turkey
Bayram Çekim: Faculty of Science, Department of Mathematics, Gazi University, Teknikokullar, Ankara 06500, Turkey

Mathematics, 2019, vol. 7, issue 2, 1-12

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.

Keywords: ( p , q )–Chebyshev polynomials; ( p , q )–Fibonacci polynomials; multilateral generating functions; multilinear generating functions. (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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