Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure

• Date: 2001
• Main Authors: Dovgoshei, A. A., Довгошей, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4231
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that a three-term recurrence relation for analytic polynomials orthogonal with respect to harmonic measure in a simply connected domain G exists if and only if ∂G is an ellipse.