An asymptotic result for Laguerre-Sobolev orthogonal polynomials

DOI10.1016/S0377-0427(97)00179-9zbMath0886.33008MaRDI QIDQ1379023

Henk G. Meijer, Teresa E. Pérez, Miguel A. Piñar, Francisco Marcellán

Publication date: 13 April 1998

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

zbMATH Keywords

asymptoticsLaguerre-Sobolev orthogonal polynomials

Mathematics Subject Classification ID

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

Related Items (11)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line ⋮ Some remarks on a paper by L. Carlitz ⋮ Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials ⋮ Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type ⋮ Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type ⋮ Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials ⋮ Asymptotic properties of Sobolev orthogonal polynomials ⋮ A generating function for Laguerre-Sobolev orthogonal polynomials.

Cites Work

• On polynomials orthogonal with respect to certain Sobolev inner products
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Laguerre-Sobolev orthogonal polynomials
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