On some properties of the orthogonal polynomials over a contour with general Jacobi weight
详细信息 查看全文
- 作者：Fahreddin G. Abdullayev ; Gülnare A. Abdullayev
- 关键词：Orthogonal polynomials ; algebraic polynomials ; conformal mapping ; quasicircle ; smooth curve
- 刊名：Journal of Mathematical Sciences
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：220
- 期：5
- 页码：533-553
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general;
- 出版者：Springer US
- ISSN：1573-8795
- 卷排序：220
文摘
In the present work, we continue to study the growth of the orthogonal polynomials over a contour with a weight function in the weighted Lebesgue space, when the contour and the weight function have some singularities. The case where there is no interference of a weight function and a contour is studied. We consider a piecewise smooth contour with interior zero angles and investigate the case of more general contours.