Sums of finite products of Legendre and Laguerre polynomials

DOI10.1186/S13662-018-1740-6zbMath1446.11036OpenAlexW2886775003MaRDI QIDQ1710269

Peng Zhang

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1740-6

zbMATH Keywords

Fourier seriesLaguerre polynomialsLegendre polynomialsBernoulli polynomialsfinite productsEuler polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas ⋮ Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials ⋮ 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 ⋮ 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 ⋮ Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials

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