Bohr radii of elliptic regions


Kaptanoglu H., Sadik N.

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, vol.12, no.3, pp.363-368, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2005
  • Title of Journal : RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
  • Page Numbers: pp.363-368

Abstract

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.