full
search.png

Search

close.png

Cancel

arrow
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

Preview Full PDF 2757 24940

Cited by

google scholar semantic scholar
Export citation
  • 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.

Wong , R.. (2018). Asymptotics of Orthogonal Polynomials. International Journal of Numerical Analysis and Modeling. 15 (1-2). 193-212. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard