Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials. Indeed, by explicit computations, each of them is expressed as linear combinations of Hermite, generali...

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Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Mathematics
Subjects:
chebyshev polynomials of second kind
Fibonacci polynomials
sums of finite products
orthogonal polynomials
Online Access:http://www.mdpi.com/2227-7390/6/10/210

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http://www.mdpi.com/2227-7390/6/10/210

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