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Starlikeness for functions of a hypercomplex variable

Gori, Anna
•
Vlacci, Fabio
2017
  • journal article

Periodico
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Abstract
In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex variable. We then obtain equivalent formulations for starlikeness which resemble the analogous ones in the holomorphic case such as Nevanlinna’s criterion. Furthermore we give a characterization of algebraic starlikeness in terms of non-vanishing of a suitable analog of the Hadamard product.
DOI
10.1090/proc/13256
WOS
WOS:000390129700026
Archivio
http://hdl.handle.net/11368/2940765
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85005939696
http://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/S0002-9939-2016-13256-5.pdf
Diritti
open access
FVG url
https://arts.units.it/request-item?handle=11368/2940765
Soggetti
  • Convexity and convex-...

  • Regular functions of ...

  • Starlikeness and star...

  • Univalent function

  • Mathematics (all)

  • Applied Mathematics

Web of Science© citazioni
4
Data di acquisizione
Mar 27, 2024
Visualizzazioni
3
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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