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Symmetry 2018, 10(7), 258; https://doi.org/10.3390/sym10070258

Representing Sums of Finite Products of Chebyshev Polynomials of Third and Fourth Kinds by Chebyshev Polynomials

1
Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
2
Department of Mathematics, Sogang University, Seoul 121-742, Korea
3
Institute of Natural Sciences, Far Eastern Federal University, 690950 Vladivostok, Russia
4
Department of Mathematics, Hannam University, Daejeon 306-791, Korea
*
Author to whom correspondence should be addressed.
Received: 5 June 2018 / Revised: 28 June 2018 / Accepted: 30 June 2018 / Published: 3 July 2018
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with their Applications)
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Abstract

Here, we consider the sums of finite products of Chebyshev polynomials of the third and fourth kinds. Then, we represent each of those sums of finite products as linear combinations of the four kinds of Chebyshev polynomials, which involve the hypergeometric function 3F2. View Full-Text
Keywords: Chebyshev polynomials; sums of finite products; hypergeometric function Chebyshev polynomials; sums of finite products; hypergeometric function
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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Kim, T.; Kim, D.S.; Victorovich, D.D.; Ryoo, C.S. Representing Sums of Finite Products of Chebyshev Polynomials of Third and Fourth Kinds by Chebyshev Polynomials. Symmetry 2018, 10, 258.

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