Bohr and Rogosinski abscissas for ordinary Dirichlet series
classification
🧮 math.CV
math.CA
keywords
abscissasbohrdirichletdomainordinaryrogosinskiseriesbounded
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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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