Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle

Kenier Castillo*, Luis E. Garza, Francisco Marcellán

*Autor correspondiente de este trabajo

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5 Citas (Scopus)

Resumen

In this contribution, we deal with analytic properties of sequences of polynomials orthogonal with respect to a Sobolev-type inner product, where μ is a non-trivial probability measure supported on the unit circle. We focus our attention on the outer relative asymptotics of these polynomials in terms of those associated with the measure μ. The behaviour of their zeros in terms of the parameter λ is studied in some illustrative examples.

Idioma originalEnglish
Páginas (desde-hasta)23-38
Número de páginas16
PublicaciónIntegral Transforms and Special Functions
Volumen24
N.º1
DOI
EstadoPublished - ene 2013
Publicado de forma externa

All Science Journal Classification (ASJC) codes

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  • Matemáticas aplicadas

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