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A condition for univalence in the polydisk

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Publication:1045723
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DOI10.1007/BF03321739zbMath1184.32005MaRDI QIDQ1045723

Rodrigo Hernández, Martin Chuaqui Farrú

Publication date: 15 December 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: http://www.heldermann.de/CMF/CMF09/CMF092/cmf09030.htm


zbMATH Keywords

Bergman metricpolydiskunivalence conditionSchwarzian operator


Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Special families of functions of several complex variables (32A17)





Cites Work

  • Unnamed Item
  • Schwarzian derivatives and a linearly invariant family in \(\mathbb C^n\)
  • A property of convex conformal maps
  • Canonical forms of some systems of linear partial differential equations
  • Schwarzian derivatives and some criteria for univalence in
  • Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
  • The Schwarzian derivative and schlicht functions




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