Sums of finite products of Chebyshev polynomials of the third and fourth kinds

DOI10.1186/S13662-018-1747-ZzbMath1435.11056OpenAlexW2886616069MaRDI QIDQ1713523

Taekyun Kim, Dae San Kim, JongKyum Kwon, Dmitry V. Dolgy

Publication date: 25 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1747-z

zbMATH Keywords

Chebyshev polynomialsFourier seriessums of finite products of Chebyshev polynomials of the third and fourth kinds

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Special sequences and polynomials (11B83) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (13)

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials ⋮ Sums of finite products of Chebyshev polynomials of two different types ⋮ Some results for sums of products of Chebyshev and Legendre polynomials ⋮ Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds ⋮ New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation ⋮ Some properties of the pseudo-Chebyshev polynomials of half-integer degree ⋮ On the Chebyshev polynomials and some of their new identities ⋮ The third and fourth kind pseudo-Chebyshev polynomials of half-integer degree ⋮ Connection problem for sums of finite products of Chebyshev polynomials of the third and fourth kinds ⋮ Connection problem for sums of finite products of Legendre and Laguerre polynomials ⋮ Fourier series for functions related to Chebyshev polynomials of the first kind and Lucas polynomials ⋮ Complex spirals and pseudo-Chebyshev polynomials of fractional degree ⋮ Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials

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• Some identities for Bernoulli polynomials involving Chebyshev polynomials

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