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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Autors principals:	Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy
Format:	Artigo
Idioma:	Inglês
Publicat:	SpringerOpen 2019-04-01
Col·lecció:	Advances in Difference Equations
Matèries:	Lucas polynomials Chebyshev polynomials of the first kind Sums of finite products Orthogonal polynomials
Accés en línia:	http://link.springer.com/article/10.1186/s13662-019-2092-6
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