Asymptotics of Orthogonal Polynomials via Recurrence Relations

@article{Wang2011AsymptoticsOO,
  title={Asymptotics of Orthogonal Polynomials via Recurrence Relations},
  author={X.-S. Wang and R. Wong},
  journal={Analysis and Applications},
  year={2011},
  volume={10},
  pages={215-235}
}
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. 
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