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Starlike functions in the Hornich space

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Publication:925177
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DOI10.1007/BF03321664zbMath1178.30012MaRDI QIDQ925177

Martin Lamprecht

Publication date: 30 May 2008

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


zbMATH Keywords

integral transformstarlike functionHornich operations


Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)


Related Items (2)

On certain families of analytic functions in the Hornich space ⋮ Hornich operations on functions of bounded boundary rotations and order \(\alpha\)



Cites Work

  • Unnamed Item
  • Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
  • Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen
  • A Banach space of locally univalent functions
  • Harmonic Function Theory
  • Univalence of the Integral of f ′(z)λ
  • Functions Starlike and Convex of Order α
  • On Certain Convex Sets in the Space of Locally Schlicht Functions
  • The Rotation Theorem for Starlike Univalent Functions
  • On the univalence of a certain integral




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