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), cilt.220, sa.5, ss.533-553, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 220 Sayı: 5
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10958-016-3199-x
  • Dergi Adı: Journal of Mathematical Sciences (United States)
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.533-553
  • Anahtar Kelimeler: algebraic polynomials, conformal mapping, Orthogonal polynomials, quasicircle, smooth curve
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.