Asymptotics of Orthogonal Polynomials via Recurrence Relations
  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. 
X.-S. Wang and R. Wong
math.CA