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

Аннотация

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.