Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs

DOI10.1016/S0377-0427(00)00639-7zbMath0990.42011MaRDI QIDQ5946588

Manuel Alfaro, M. Luisa Rezola, Juan José Moreno Balcázar, Miguel A. Piñar, Teresa E. Pérez

Publication date: 7 August 2002

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

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsHermite polynomialsPlancherel-Rotach asymptoticssymmetrically coherent pairs

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 (7)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ On asymptotic properties of Freud--Sobolev orthogonal polynomials. ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ Sobolev orthogonal polynomials: Balance and asymptotics ⋮ A Mehler--Heine-type formula for Hermite--Sobolev orthogonal polynomials

Cites Work

• Determination of all coherent pairs
• Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type
• Asymptotics for orthogonal polynomials
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials

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