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arXiv · 0706.3582

Bohr and Rogosinski abscissas for ordinary Dirichlet series

Lev Aizenberg·Victor Gotlib·Alekos Vidras
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Abstract

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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Lev Aizenberg, Victor Gotlib, Alekos Vidras. 2007-06-25. Bohr and Rogosinski abscissas for ordinary Dirichlet series. https://arxiv.org/abs/0706.3582

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