On some properties of the orthogonal polynomials over a contour with general Jacobi weight
- Authors: Abdullayev F.G.1, Abdullayev G.A.2
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Affiliations:
- Mersin University, Faculty of Arts and Science Department of Mathematics
- Mersin University, Higher School of Technical Science
- Issue: Vol 220, No 5 (2017)
- Pages: 533-553
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238876
- DOI: https://doi.org/10.1007/s10958-016-3199-x
- ID: 238876
Cite item
Abstract
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.
About the authors
Fahreddin G. Abdullayev
Mersin University, Faculty of Arts and Science Department of Mathematics
Author for correspondence.
Email: fabdul@mersin.edu.tr
Turkey, Mersin
Gülnare A. Abdullayev
Mersin University, Higher School of Technical Science
Email: fabdul@mersin.edu.tr
Turkey, Mersin
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