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Volume 15, Issue 1-2
Asymptotics of Orthogonal Polynomials

R. Wong

Int. J. Numer. Anal. Mod., 15 (2018), pp. 193-212.

Published online: 2018-01

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  • 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.

  • Keywords

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

  • AMS Subject Headings

33C45, 41A60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

rscwong@cityu.edu.hk (R. Wong)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-193, author = {Wong , R.}, title = {Asymptotics of Orthogonal Polynomials}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {1-2}, pages = {193--212}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10563.html} }
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.

R. Wong. (2020). Asymptotics of Orthogonal Polynomials. International Journal of Numerical Analysis and Modeling. 15 (1-2). 193-212. doi:
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