2017
Том 69
№ 9

All Issues

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

Dovgoshei A. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 167-177.

Citation Example: Dovgoshei A. A. Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 147-155.

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