Expansion of multivariable polynomials in products of orthogonal polynomials in one variable

DOI10.1016/S0096-3003(01)00082-0zbMath1025.40003MaRDI QIDQ1855681

Luc Rebillard, André Ronveaux

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

harmonic polynomialspartial differential equationsAppell property of Hermite polynomials

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Applications of Hermite transforms in computer algebra. ⋮ Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case

Uses Software

• Maple

Cites Work

• Quick construction of recurrence relations for the Jacobi coefficients
• Some remarks on uniform asymptotic expansions for Bessel functions
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Rational approximation in the complex plane using a \(\tau\)-method and computer algebra
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• Combinatorial Applications of Hermite Polynomials
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