On some properties of orthogonal polynomials over an area in domains of the complex plane. I

ABDULLAYEV F.

Ukrainian Mathematical Journal, cilt.52, sa.12, ss.1807-1817, 2000 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 12
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1010491406926
  • Dergi Adı: Ukrainian Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1807-1817
  • Uşak Üniversitesi Adresli: Hayır

Özet

We establish conditions for the interference of singularities of a weight function and a contour for orthogonal polynomials over the area of a domain. We obtain new estimates for the rate of growth of these polynomials, which depend on the singularities of the weight function and the contour. © 2000 Plenum Publishing Corporation.