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
Descripción
Sumario: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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