Resumen de Varying Sobolev type orthogonal polynomials: the Laguerre case

Laura Castaño-García, Juan José Moreno Balcázar

• 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