A Mehler--Heine-type formula for Hermite--Sobolev orthogonal polynomials

DOI10.1016/S0377-0427(02)00552-6zbMath1012.42020MaRDI QIDQ1863679

Laura Castaño-García, Juan José Moreno Balcázar

Publication date: 12 March 2003

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

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsSobolev inner productMehler-Heine-type formulasHermite-Sobolev orthogonal polynomials

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)

Related Items (4)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials

Cites Work

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• On polynomials orthogonal with respect to certain Sobolev inner products
• Determination of all coherent pairs
• Polynomial Least Square Approximations
• Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs

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