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


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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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