A new approach to the asymptotics of Sobolev type orthogonal polynomials

作者：Alfaro M; Moreno Balcazar J J; Pena A^*; Rezola M L

来源：Journal of Approximation Theory, 2011, 163(4): 460-480.

DOI：10.1016/j.jat.2010.11.005

• Laguerre and Hermite polynomials
• Asymptotics
• Mehler-Heine type formulas
• Zeros
• Bessel functions

This paper deals with Mehler-Heine type asymptotic formulas for the so-called discrete Sobolev orthogonal polynomials whose continuous part is given by Laguerre and generalized Hermite measures. We use a new approach which allows to solve the problem when the discrete part contains an arbitrary (finite) number of mass points.

• 出版日期2011-4