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

ABDULLAYEV F., Abdullayev G. A.

Journal of Mathematical Sciences (United States), vol.220, no.5, pp.533-553, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 220 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.1007/s10958-016-3199-x
  • Journal Name: Journal of Mathematical Sciences (United States)
  • Journal Indexes: Scopus
  • Page Numbers: pp.533-553
  • Keywords: algebraic polynomials, conformal mapping, Orthogonal polynomials, quasicircle, smooth curve
  • Uşak University Affiliated: No

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.