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

• Дата: 2000
• Автори: Abdullayev, F. G., Абдуллаев, Ф. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4562
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.