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Remarks on the Bohr and Rogosinski phenomena for power series

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Abstract

The following problems are discussed in this work.

  1. 1.

    Asymptotics of the majorant function in the Reinhardt domains in \({\mathbb C^n}\).

  1. 2.

    The Bohr and Rogosinski radii for Hardy classes of functions holomorphic in the disk.

  1. 3.

    Neither Bohr nor Rogosinski radius exists for functions holomorphic in an annulus, with natural basis.

  1. 4.

    The Bohr and Rogosinski radii for the mappings of the Reinhardt domains into Reinhardt domains.

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Authors and Affiliations

  1. Department Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel

    Lev Aizenberg

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  1. Lev Aizenberg
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Aizenberg, L. Remarks on the Bohr and Rogosinski phenomena for power series. Anal.Math.Phys. 2, 69–78 (2012). https://doi.org/10.1007/s13324-012-0024-7

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  • DOI: https://doi.org/10.1007/s13324-012-0024-7

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