Julia Sets of Orthogonal Polynomials View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

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

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 {Pn} to properties of the support. More precisely we relate the Julia set of Pn to the outer boundary of the support, the filled 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. More... »

PAGES

401-413

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11118-018-9687-5

DOI

http://dx.doi.org/10.1007/s11118-018-9687-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1101176706


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