Bohr radii of elliptic regions

Kaptanoglu H., Sadik N.

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, cilt.12, sa.3, ss.363-368, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2005
  • Dergi Adı: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.363-368
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We use Faber series to define the Bohr radius for a simply connected planar domain bounded by an analytic Jordan curve. We estimate the value of the Bohr radius for elliptic domains of small eccentricity and show that these domains do not exhibit Bohr phenomenon when the eccentricity is large. We obtain the classical Bohr radius as the eccentricity tends to 0.