A new class of three-variable orthogonal polynomials and their recurrences relations

DOI10.1007/s11425-007-0188-zzbMath1168.42013OpenAlexW1489055878MaRDI QIDQ943462

Jiachang Sun

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0188-z

zbMATH Keywords

recurrence relationsLegendre polynomialJacobi polynomial3D PDE eigen-problemthree variable Chebyshev polynomials

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General theory of partial differential operators (47F05)

Related Items (2)

Generating functions of Chebyshev polynomials in three variables ⋮ Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables

Cites Work

• Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
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