Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros

DOI10.1016/S0377-0427(98)00005-3zbMath0924.33006WikidataQ115338985 ScholiaQ115338985MaRDI QIDQ1298491

V. Pereyra

Publication date: 8 November 1999

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

zbMATH Keywords

orthogonal polynomialsJacobi polynomialshypergeometric functionSobolev-type orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ Linearization coefficients for Boas-Buck polynomial sets ⋮ On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ On linear summability methods of Fourier series in polynomials orthogonal in a discrete Sobolev space ⋮ An extremal problem for algebraic polynomials in the symmetric discrete Gegenbauer--Sobolev space ⋮ Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation ⋮ Jacobi–Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case ⋮ Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Some connection and linearization problems for polynomials in and beyond the Askey scheme ⋮ Generalized trace formula and asymptotics of the averaged Turan determinant for polynomials orthogonal with a discrete Sobolev inner product ⋮ On some classical type Sobolev orthogonal polynomials ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials

Uses Software

• Mathematica

Cites Work

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