Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Abstract In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials whose coefficients involve some termina...

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Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Advances in Difference Equations
Subjects:
Lucas polynomials
Chebyshev polynomials of the first kind
Sums of finite products
Orthogonal polynomials
Online Access:http://link.springer.com/article/10.1186/s13662-019-2092-6

Internet

http://link.springer.com/article/10.1186/s13662-019-2092-6

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