Quick construction of recurrence relations for the Jacobi coefficients

DOI10.1016/0377-0427(92)90021-OzbMath0764.65010OpenAlexW2091446359MaRDI QIDQ1195744

Stanisław Lewanowicz

Publication date: 18 January 1993

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

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90021-o

zbMATH Keywords

difference operatorsrecurrence relationslinear differential equationJacobi polynomialJacobi series coefficients

Mathematics Subject Classification ID

Related Items (16)

Recurrence relations for connection coefficients between two families of orthogonal polynomials ⋮ Connection coefficients for orthogonal polynomials: Symbolic computations, verifications and demonstrations in the Mathematica language ⋮ Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case ⋮ Results on the associated classical orthogonal polynomials ⋮ Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials ⋮ Polynomial approximation of rational Bézier curves with constraints ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ Fast structured Jacobi-Jacobi transforms ⋮ A method for indefinite integration of oscillatory and singular functions ⋮ The spectral connection matrix for classical orthogonal polynomials of a single parameter ⋮ On Jacobi polynomials and fractional spectral functions on compact symmetric spaces ⋮ On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials ⋮ Descriptions of fractional coefficients of Jacobi polynomial expansions ⋮ Expansion of multivariable polynomials in products of orthogonal polynomials in one variable ⋮ Results on the associated Jacobi and Gegenbauer polynomials ⋮ The spectral connection matrix for any change of basis within the classical real orthogonal polynomials

Uses Software

• Maple

Cites Work

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• The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
• Co-recursive orthogonal polynomials and fourth-order differential equation
• Some remarks on uniform asymptotic expansions for Bessel functions
• The special functions and their approximations. Vol. I, II
• Properties of the Polynomials Associated with the Jacobi Polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Fourth-order differential equations for numerator polynomials

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