Computational Methods and Function Theory 9 (2009), No. 1, 65--74
Copyright Heldermann Verlag 2009
Lev Aizenberg
aizenbrg@macs.biu.ac.il , Bar-Ilan University, Department of Mathematics, Ramat-Gan 52900, Israel.
Victor Gotlib
gotlib@hit.ac.il , Holon Institute of Technology, Department of Mathematics, P.O.Box 305, Holon 58102, Israel.
Alekos Vidras
msvidras@ucy.ac.cy , University of Cyprus, Department of Mathematics and Statistics, Nicosia 1678, Cyprus.
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain G⊂ C are independent of the domain G. Furthermore, we obtain new estimates about these abscissas.
Keywords: Isometric Bohr abscissa, Rogosinski abscissa, Dirichlet series.
MSC 2000: 30B50, 30A10.
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