Bohr and Rogosinski Abscissas for Ordinary Dirichlet Series
نویسنده
چکیده
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. 1. Preliminaries Let us recall the theorem of H.Bohr [19] in 1914. Theorem 1.1. If a power series
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