Remarks on the Bohr and Rogosinski phenomena for power series

Lev Aizenberg

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

The following problems are discussed in this work. 1.Asymptotics of the majorant function in the Reinhardt domains in (Formula presented.) 2. The Bohr and Rogosinski radii for Hardy classes of functions holomorphic in the disk.3. Neither Bohr nor Rogosinski radius exists for functions holomorphic in an annulus, with natural basis.4. The Bohr and Rogosinski radii for the mappings of the Reinhardt domains into Reinhardt domains.

Original languageEnglish
Pages (from-to)69-78
Number of pages10
JournalAnalysis and Mathematical Physics
Volume2
Issue number1
DOIs
StatePublished - 25 Mar 2012

Bibliographical note

Publisher Copyright:
© 2012, Springer Basel AG.

Keywords

  • 30D25
  • 30E20

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