English

Bohr and Rogosinski abscissas for ordinary Dirichlet series

Complex Variables 2007-06-26 v1 Classical Analysis and ODEs

Abstract

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

Keywords

Cite

@article{arxiv.0706.3582,
  title  = {Bohr and Rogosinski abscissas for ordinary Dirichlet series},
  author = {Lev Aizenberg and Victor Gotlib and Alekos Vidras},
  journal= {arXiv preprint arXiv:0706.3582},
  year   = {2007}
}