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

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

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.

Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Dolgy Dmitriy Victorovich, Cheon Seoung Ryoo
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Symmetry
Subjects:
Chebyshev polynomials
sums of finite products
hypergeometric function
Online Access:http://www.mdpi.com/2073-8994/10/7/258

Internet

http://www.mdpi.com/2073-8994/10/7/258

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