Asymptotics of Orthogonal Polynomials

Authors

  • R. Wong Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong

Keywords:

Asymptotics, orthogonal polynomials, Riemann-Hilbert method, difference-equation techniques.

Abstract

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.

Published

2018-08-14

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