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}
}
• Published 2011
• Mathematics
• Analysis and Applications
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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