Orthogonal Polynomials on the Hexagon

DOI10.1137/0147022zbMath0613.33010OpenAlexW2021152716WikidataQ56533472 ScholiaQ56533472MaRDI QIDQ3754290

Charles F. Dunkl

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147022

zbMATH Keywords

Zernike polynomialsorthogonal polynomials in two variableshexagonal segments of telescope mirrorsymmetry group of regular hexagon

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Technical applications of optics and electromagnetic theory (78A55) Approximation by polynomials (41A10) Other geometric groups, including crystallographic groups (20H15)

Related Items (11)

Functional data approximation on bounded domains using polygonal finite elements ⋮ Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains ⋮ The construction of \(G\)-invariant finite tight frames ⋮ Approximation on hexagonal domains by Taylor-Abel-Poisson means ⋮ Numerical hyperinterpolation over nonstandard planar regions ⋮ Spectral methods in non-tensor geometry. II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squircle-bounded and perturbed-quadrifolium domains ⋮ Measures of Dirichlet type on regular polygons and their moments ⋮ Multivariate Bernstein operators and redundant systems ⋮ Fourier series and approximation on hexagonal and triangular domains ⋮ Product Gauss cubature over polygons based on Green's integration formula ⋮ Approximation on non-tensor domains including squircles. III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids

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