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

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 stu...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-02, Vol.220 (5), p.533-553
Main Authors: Abdullayev, Fahreddin G., Abdullayev, Gülnare A.
Format: Article
Language:English
Subjects:
Analysis
Contours
Cytokinins
Mathematics
Mathematics and Statistics
Polynomials
Shape
Singularity (mathematics)
Weighting functions
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3199-x