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math.CA2011★ 1 cited
Asymptotics of Orthogonal Polynomials via Recurrence Relations
X. -S. Wang, R. Wong
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 polynomia…
math.CA2011★ 1 cited
Global Asymptotics of the Meixner Polynomials
X. -S. Wang, R. Wong
Using the steepest descent method for oscillatory Riemann-Hilbert problems introduced by Deift and Zhou [Ann. Math. {\bf 137}(1993), 295-368], we derive asymptotic formulas for the…