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.
Convexity of the zeros of some orthogonal polynomials and related functions
Abstract "hypergeometric" orthogonal polynomials
An integral identity with applications in orthogonal polynomials
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