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

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Abstract

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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Authors and Affiliations

  1. Mersin University, Turkey

    F. G. Abdullaev

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  1. F. G. Abdullaev
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Abdullaev, F.G. On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I. Ukrainian Mathematical Journal 52, 1807–1817 (2000). https://doi.org/10.1023/A:1010491406926

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