Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation

DOI10.1080/10652469.2010.541157zbMath1231.42024OpenAlexW2093561081MaRDI QIDQ3107299

Unnamed Author, Héctor Pijeira Cabrera, José Yunier Bello Cruz, Wilfredo O. Urbina R.

Publication date: 23 December 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.541157

zbMATH Keywords

asymptotic behaviororthogonal polynomialsrecurrence relationhydrodynamical modelzero location

Mathematics Subject Classification ID

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) Incompressible inviscid fluids (76B99) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

Gegenbauer Cardinal Functions for the Inverse Source Parabolic Problem with a Time-Fractional Diffusion Equation ⋮ Iterated integrals and Borwein-Chen-Dilcher polynomials ⋮ On orthogonal polynomials with respect to a class of differential operators ⋮ Orthogonality with respect to a Jacobi differential operator and applications ⋮ Iterated integrals of Jacobi polynomials ⋮ Differential orthogonality: Laguerre and Hermite cases with applications

Cites Work

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• Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights
• On polar Legendre polynomials
• Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line
• Sobolev orthogonal polynomials and second-order differential equations
• Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\)
• Orthogonal polynomials with respect to a differential operator. Existence and uniqueness
• Discrete-continuous symmetrized Sobolev inner products
• Theoretical Properties of Best Polynomial Approximation in $W^{1,2} [ - 1,1$]
• Analytic aspects of Sobolev orthogonal polynomials revisited

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