Julia Sets of Orthogonal Polynomials

Jacob Stordal Christiansen, Christian Henriksen, Henrik Laurberg Pedersen, Carsten Lunde Petersen*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

166 Downloads (Pure)

Abstract

For a probability measure with compact and non-polar support in the complex plane we relate dynamical properties of the associated sequence of orthogonal polynomials fPng to properties of the support. More precisely we relate the Julia set of Pn to the outer boundary of the support, the lled Julia set to the polynomial convex hull K of the support, and the Green's function associated with Pn to the Green's function for the complement of K.
Original languageEnglish
JournalPotential Analysis
Volume50
Issue number3
Pages (from-to)401-413
ISSN0926-2601
DOIs
Publication statusPublished - 2018

Keywords

  • Orthogonal polynomier
  • Green’s funktion
  • Julia mængde
  • Orthogonal Polynomials
  • Green's function
  • Julia set

Fingerprint Dive into the research topics of 'Julia Sets of Orthogonal Polynomials'. Together they form a unique fingerprint.

Cite this