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

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...

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Bibliographic Details
Main Author: Luis Alejandro Molano Molano
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2018-03-01
Series:Revista Integración
Subjects:
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/8066