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

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Abstract

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.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    A. A. Dovgoshei

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  1. A. A. Dovgoshei
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Dovgoshei, A.A. Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure. Ukrainian Mathematical Journal 53, 167–177 (2001). https://doi.org/10.1023/A:1010452601011

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  • DOI: https://doi.org/10.1023/A:1010452601011

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