Asymptotics of orthogonal polynomials

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)193-212
Journal / PublicationInternational Journal of Numerical Analysis and Modeling
Volume15
Issue number1-2
StatePublished - 2018

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.

Research Area(s)

  • Asymptotics, Difference-equation techniques, Orthogonal polynomials, Riemann-Hilbert method

Citation Format(s)

Asymptotics of orthogonal polynomials. / Wong, R.

In: International Journal of Numerical Analysis and Modeling, Vol. 15, No. 1-2, 2018, p. 193-212.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal