Bohr and Rogosinski abscissas for ordinary Dirichlet series

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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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Complex Variables, Classical Analysis and ODEs, 30B50, 30A10

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http://salesiana.dossiersoluciones.com/handle/123456789/132370

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3582
 http://arxiv.org/abs/0706.3582

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arXiv