Next Article in Journal
Constructions of Helicoidal Surfaces in a 3-Dimensional Complete Manifold with Density
Next Article in Special Issue
Some Types of Identities Involving the Legendre Polynomials
Previous Article in Journal
Some Inequalities for g-Frames in Hilbert C*-Modules
Previous Article in Special Issue
Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
Article

Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

1
Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China
2
Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
3
Department of Mathematics, Sogang University, Seoul 121-742, Korea
4
Hanrimwon, Kwangwoon University, Seoul 139-701, Korea
5
Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Gyeongsangnamdo 52828, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(1), 26; https://doi.org/10.3390/math7010026
Received: 21 November 2018 / Revised: 19 December 2018 / Accepted: 21 December 2018 / Published: 27 December 2018
(This article belongs to the Special Issue Special Polynomials)
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds. Here, the coefficients involve terminating hypergeometric functions 2 F 1 and these representations are obtained by explicit computations. View Full-Text
Keywords: sums of finite products; Chebyshev polynomials of the first kind; Lucas polynomials; Chebyshev polynomials of all kinds sums of finite products; Chebyshev polynomials of the first kind; Lucas polynomials; Chebyshev polynomials of all kinds
MDPI and ACS Style

Kim, T.; Kim, D.S.; Dolgy, D.V.; Kwon, J. Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials. Mathematics 2019, 7, 26. https://doi.org/10.3390/math7010026

AMA Style

Kim T, Kim DS, Dolgy DV, Kwon J. Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials. Mathematics. 2019; 7(1):26. https://doi.org/10.3390/math7010026

Chicago/Turabian Style

Kim, Taekyun; Kim, Dae S.; Dolgy, Dmitry V.; Kwon, Jongkyum. 2019. "Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials" Mathematics 7, no. 1: 26. https://doi.org/10.3390/math7010026

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop