Published January 1, 2017 | Version v1
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Orthogonal Polynomials on Generalized Julia Sets

  • 1. Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

Description

We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green's functions and Parreau-Widom criterion for a special family of real generalized Julia sets.

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