Abstract

MOLANO MOLANO, Luis Alejandro. On some asymptotic properties of classical Hermite polynomials modified by a rational factor. Integración - UIS [online]. 2017, vol.35, n.2, pp.149-161. ISSN 0120-419X.  https://doi.org/10.18273/revint.v35n2-2017002.

In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure , where a, b > 0 and a ≠ b. In this way we study the outer relative asymptotic with respect to the classical Hermite polynomials; besides, Mehler-Heine type formulas are analyzed.

MSC2010: 33C25, 33C45, 33C47, 42C05.

Keywords : Asymptotics properties; perturbed Hermite polynomials; Christoffel and Geronimus perturbations.

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