Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials

In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we can express those sums of finite products in terms of Bernoulli...

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Detalles Bibliográficos
Autores principales: Kim, Taekyun, Kim, Dae San, Dolgy, Dmitry V., Park, Jin-Woo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019443/
https://www.ncbi.nlm.nih.gov/pubmed/30008536
http://dx.doi.org/10.1186/s13660-018-1744-5
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author Kim, Taekyun
Kim, Dae San
Dolgy, Dmitry V.
Park, Jin-Woo
author_facet Kim, Taekyun
Kim, Dae San
Dolgy, Dmitry V.
Park, Jin-Woo
author_sort Kim, Taekyun
collection PubMed
description In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we can express those sums of finite products in terms of Bernoulli polynomials and obtain some identities by using those expressions.
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spelling pubmed-60194432018-07-11 Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials Kim, Taekyun Kim, Dae San Dolgy, Dmitry V. Park, Jin-Woo J Inequal Appl Research In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we can express those sums of finite products in terms of Bernoulli polynomials and obtain some identities by using those expressions. Springer International Publishing 2018-06-27 2018 /pmc/articles/PMC6019443/ /pubmed/30008536 http://dx.doi.org/10.1186/s13660-018-1744-5 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kim, Taekyun
Kim, Dae San
Dolgy, Dmitry V.
Park, Jin-Woo
Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title_full Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title_fullStr Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title_full_unstemmed Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title_short Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
title_sort sums of finite products of chebyshev polynomials of the second kind and of fibonacci polynomials
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6019443/
https://www.ncbi.nlm.nih.gov/pubmed/30008536
http://dx.doi.org/10.1186/s13660-018-1744-5
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