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A Shimorin-type estimate for higher-order Schwarzian derivatives

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Publication:2000987
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DOI10.1007/S40315-019-00265-0zbMath1481.30034OpenAlexW2929948514WikidataQ128123866 ScholiaQ128123866MaRDI QIDQ2000987

Juan Jesús Donaire

Publication date: 1 July 2019

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

Full work available at URL: https://doi.org/10.1007/s40315-019-00265-0


zbMATH Keywords

Schwarzian derivativeBergman spacesAharonov invariants


Mathematics Subject Classification ID

Inequalities in the complex plane (30A10) Bergman spaces and Fock spaces (30H20)





Cites Work

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  • Invariant Schwarzian derivatives of higher order
  • Coefficient estimates for negative powers of the derivative of univalent functions
  • Aharonov invariants and univalent functions
  • Higher Schwarzian operators and combinatorics of the Schwarzian derivative
  • A necessary and sufficient condition for univalence of a meromorphic function
  • Distortion theorems for higher order Schwarzian derivatives of univalent functions
  • On the Derivatives of the Schwarzian Derivative of a Univalent Function and their Symmetric Generating Function




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