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On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I

We establish conditions for the interference of singularities of a weight function and a contour for orthogonal polynomials over the area of a domain. We obtain new estimates for the rate of growth of these polynomials, which depend on the singularities of the weight function and the contour.

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Bibliographic Details
Date:	2000
Main Authors:	Abdullayev, F. G., Абдуллаев, Ф. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4562
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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