Varying Sobolev type orthogonal polynomials: the Laguerre case

• Laura Castaño-García ^[1] ; Juan José Moreno-Balcázar ^[1]
  1. [1] Universidad de Almería

     Universidad de Almería

     Almería, España

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 4, Nº. 2, 2012, págs. 85-99
• Idioma: inglés
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• Resumen

  • In this paper we introduce some new results about Mehler–Heine type asymptotics of Sobolev type orthogonal polynomials with respect to a varying nonstandard inner product related to the Laguerre weight. As a consequence, the asymptotic behaviour of the zeros of these polynomials is provided. The results are illustrated with some numerical examples