2019
Том 71
№ 11

All Issues

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

Abdullayev F. G.

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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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 12, pp 1807-1817.

Citation Example: Abdullayev F. G. On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. I // Ukr. Mat. Zh. - 2000. - 52, № 12. - pp. 1587-1595.

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