Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 5 June 2018 / Approved: 6 June 2018 / Online: 6 June 2018 (09:44:52 CEST)

A peer-reviewed article of this Preprint also exists.

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. 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.

Journal reference: Symmetry 2018, 10, 258
DOI: 10.3390/sym10070258

Abstract

Here we consider 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.

Subject Areas

Chebyshev polynomials; sums of finite products; hypergeometric function

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