Revista Integración (Mar 2018)

On some asymptotic properties of classical Hermite polynomials modified by a rational factor

  • Luis Alejandro Molano Molano

DOI
https://doi.org/10.18273/revint.v35n2-2017002
Journal volume & issue
Vol. 35, no. 2

Abstract

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In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b. In this way we study the outer relative asymptotic with respect to the classical Hermite polynomials; besides, Mehler-Heine type formulas are analyzed.

Keywords