On the some properties of the orthogonal polynomials over a contour with general Jacobi weight

• Published in: Український математичний вісник
• Date: 2016
• Main Authors: Abdullaev, F.G., Abdullaev, G.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140889
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the some properties of the orthogonal polynomials over a contour with general Jacobi weight / F.G. Abdullaev, G.A. Abdullaev // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 1-27. — Бібліогр.: 40 назв. — англ.

In present work, we continue the study the growth of the orthogonal polynomials over a contour with weight function in the weighted Lebesgue space, when the contour and the weight function having some singularities. We study case, when interference of weight and contour is not satisfied, for piecewi...