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Schwarzian derivative for convex mappings of order \(\alpha\)

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Publication:2684879
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DOI10.1007/S13324-023-00785-YOpenAlexW4319263696MaRDI QIDQ2684879

Rodrigo Hernández, Pablo D. Carrasco

Publication date: 17 February 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.13563


zbMATH Keywords

Schwarzian derivativeSchwarz lemmaconvex functions


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) Inequalities in the complex plane (30A10)





Cites Work

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  • A property of convex conformal maps
  • Norm estimates for function starlike or convex of order alpha
  • Sharp norm estimate of Schwarzian derivative for a class of convex functions
  • Schwarzian derivatives of convex mappings
  • Sharp Distortion Theorems Associated with the Schwarzian Derivative
  • Shorter Notes: A Coefficient Inequality for Convex Univalent Functions
  • On the theory of univalent functions




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