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. Symmetry2018, 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.
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. Symmetry2018, 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.
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.
Keywords
Chebyshev polynomials; sums of finite products; hypergeometric function
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
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.
