Differential orthogonality: Laguerre and Hermite cases with applications

Borrego Morell, Jorge Alberto; Pijeira Cabrera, Héctor Esteban

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Differential orthogonality: Laguerre and Hermite cases with applications

Author(s): Borrego Morell, Jorge Alberto; Pijeira Cabrera, Héctor Esteban

Publisher: Elsevier

Issued date: 2015-08

Citation: Journal of Approximation Theory, 2015, v. 196, pp. 111-130

ISSN: 0021-9045

DOI: 10.1016/j.jat.2015.03.005

Sponsor: The authors thank the comments and suggestions made by the referees which helped improve the manuscript. First author’s research was partially supported by FAPESP of Brazil, under grant 2012/21042-0. First and second authors’ research was partially supported by Ministerio de Economía y Competitividad of Spain, under grant MTM2012-36732-C03-01.

Publisher version: http://dx.doi.org/10.1016/j.jat.2015.03.005

Project: Gobierno de España. MTM2012-36732-C03-01

Keywords: Orthogonal polynomials , Ordinary differential operators , Asymptotic analysis , Weak star convergence , Hydrodynamic

URI: http://hdl.handle.net/10016/23327

Rights: © Elsevier 2015
Atribución-NoComercial-SinDerivadas 3.0 España

Abstract:

Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or L[f]=12f′′−xf′ , and m a natural number. We study algebraic, analytic and asymptotic properties of the sequence of monic polynomials {Qn}n>m that satisfy th [+]

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