On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane

ABDULLAYEV F., Deǧer U.

Bulletin of the Belgian Mathematical Society - Simon Stevin, vol.16, no.2, pp.235-250, 2009 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.36045/bbms/1244038136
  • Journal Name: Bulletin of the Belgian Mathematical Society - Simon Stevin
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.235-250
  • Keywords: Conformal mapping, Orthogonal polynomials, Quasicircle, Quasiconformal mapping, Weight function
  • Uşak University Affiliated: No

Abstract

The order of the weight of orthogonal polynomials is analyzed, when this weight function shows singularities on the boundary of a region in the complex plane.