Acta Applicandae Mathematica

, Volume 94, Issue 2, pp 163–192

Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports

Authors

    • Departamento de MatemáticasUniversidad Carlos III de Madrid
  • Juan José Moreno Balcázar
    • Departamento de Estadística y Matemática AplicadaUniversidad de Almería
    • Instituto Carlos I de Física Teórica y ComputacionalUniversidad de Granada
Article

DOI: 10.1007/s10440-006-9073-y

Cite this article as:
Marcellán, F. & Balcázar, J.J.M. Acta Appl Math (2006) 94: 163. doi:10.1007/s10440-006-9073-y

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 polynomials as well as in the distribution of their zeros. Some open problems as well as some directions for future research are formulated.

Key words

Sobolev orthogonal polynomialsasymptoticszeros

Mathematics Subject Classifications (2000)

Primary 42C05Secondary 33C45
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Copyright information

© Springer Science + Business Media B.V. 2006