TY - JOUR T1 - Asymptotics of Orthogonal Polynomials AU - Wong , R. JO - International Journal of Numerical Analysis and Modeling VL - 1-2 SP - 193 EP - 212 PY - 2018 DA - 2018/01 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/10563.html KW - Asymptotics, orthogonal polynomials, Riemann-Hilbert method, difference-equation techniques. AB -

In this survey article, we present some recent results on the asymptotic behavior of four systems of orthogonal polynomials. These are Stieltjes-Wigert, Hahn, Racah and pseudo-Jacobi polynomials. In each case, the variable $z$ is allowed to be in any part of the complex plane. In some cases, asymptotic formulas are also given for their zeros.