Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports

Marcellán Español, Francisco José; Moreno Balcázar, Juan José

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Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports

Author(s): Marcellán Español, Francisco José; Moreno Balcázar, Juan José

Publisher: Springer

Issued date: 2006-11

Citation: Acta Applicandae Mathematicae, 2006, vol. 94, n. 2, p. 163-192

ISSN: 0167-8019 (Print)
1572-9036 (Online)

DOI: 10.1007/s10440-006-9073-y

Sponsor: Research of Francisco Marcellán was partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2003-06335-C03-02 and INTAS Research Network NeCCA INTAS 03-51-6637. Research of Juan José Moreno Balcázar was partially supported by Ministerio de Educación y Ciencia of Spain under grant MTM2005-08648-C02-01 and Junta de Andalucía (FQM 229 and FQM 481).

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1007/s10440-006-9073-y

Keywords: Sobolev orthogonal polynomials , Asymptotics , Zeros

URI: http://hdl.handle.net/10016/5934

Rights: © Springer

Abstract:

In this paper we present a survey about analytic properties of polynomials orthogonal with respect to a weighted Sobolev inner product such that the vector of measures has an unbounded support. In particular, we focus on the asymptotic behaviour of such polyno [+]