Bohr radii of elliptic regions

Date

2005-07-01

Author

Kaptanoglu, HT
Sadik, N

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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.

Subject Keywords

Power-series, Theorem, Variables

URI

https://hdl.handle.net/11511/65302

Journal

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS

Collections

Department of Mathematics, Article

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Citation Formats

H. Kaptanoglu and N. Sadik, “Bohr radii of elliptic regions,” RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, pp. 363–368, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65302.