Bohr and Rogosinski abscissas for ordinary Dirichlet series

Details Bohr and Rogosinski abscissas for ordinary Dirichlet series Bohr and Rogosinski abscissas for ordinary Dirichlet series

2007-06-25

arxiv.org/abs/0706.3582v1

Mathematics

Complex Variables

Scientific paper

We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet
series, mapping the right half-plane into the bounded convex domain $G\subset
\mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new
estimates about these abscissas.

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