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.
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.