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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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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.