On polar Legendre polynomials

DOI10.1216/RMJ-2010-40-6-2025zbMath1223.42021arXiv0709.4537OpenAlexW2963321664MaRDI QIDQ618679

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

Publication date: 17 January 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4537

zbMATH Keywords

orthogonal polynomialsdifferential operatorsLegendre polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (6)

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 ⋮ Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation ⋮ Differential orthogonality: Laguerre and Hermite cases with applications

Cites Work

• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Orthogonal polynomials with respect to a differential operator. Existence and uniqueness
• Sobolev orthogonal polynomials: The discrete-continuous case
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