Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds

Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds

Abstract The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials. As a generalization of this, we consider here sums of finite products of Chebyshev polynomials of the first, third...

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Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Dojin Kim
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Advances in Difference Equations
Subjects:
Sums of finite products
Chebyshev polynomials
Hermite polynomial
Extended Laguerre polynomial
Legendre polynomial
Gegenbauer polynomial
Online Access:http://link.springer.com/article/10.1186/s13662-019-2058-8

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http://link.springer.com/article/10.1186/s13662-019-2058-8

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