Asymptotics of Orthogonal Polynomials via Recurrence Relations
Classical Analysis and ODEs
2011-01-25 v1
Abstract
We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail.
Cite
@article{arxiv.1101.4371,
title = {Asymptotics of Orthogonal Polynomials via Recurrence Relations},
author = {X. -S. Wang and R. Wong},
journal= {arXiv preprint arXiv:1101.4371},
year = {2011}
}