Hohlov Effects for Pre-Schwarzian Derivatives of Functions in the Gakhov Class

2019 ◽  
Vol 40 (9) ◽  
pp. 1324-1329
Author(s):  
A. V. Kazantsev
Keyword(s):  
Schwarzian Derivatives ◽  
Derivatives Of ◽  
Gakhov Class

scholarly journals Schwarzian derivatives of convex mappings

2011 ◽  
Vol 36 ◽  
pp. 449-460 ◽  
Author(s):  
Martin Chuaqui ◽  
Peter Duren ◽  
Brad Osgood
Keyword(s):  
Convex Mappings ◽  
Schwarzian Derivatives ◽  
Derivatives Of

scholarly journals Invariant Schwarzian Derivatives of Higher Order

2010 ◽  
Vol 5 (3) ◽  
pp. 659-670 ◽  
Author(s):  
Seong-A Kim ◽  
Toshiyuki Sugawa
Keyword(s):  
Higher Order ◽  
Schwarzian Derivatives ◽  
Derivatives Of

scholarly journals Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings

2013 ◽  
Vol 25 (1) ◽  
pp. 64-91 ◽  
Author(s):  
Rodrigo Hernández ◽  
María J. Martín
Keyword(s):  
Harmonic Mappings ◽  
Schwarzian Derivatives ◽  
Derivatives Of

scholarly journals NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

2006 ◽  
Vol 49 (1) ◽  
pp. 131-143 ◽  
Author(s):  
Yong Chan Kim ◽  
Toshiyuki Sugawa
Keyword(s):  
Hardy Spaces ◽  
Convex Functions ◽  
Maximal Operator ◽  
Univalent Functions ◽  
Independent Interest ◽  
Norm Estimates ◽  
Norm Estimate ◽  
Schwarzian Derivatives ◽  
Derivatives Of

AbstractA sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.

scholarly journals Estimate for Schwarzian derivative of certain close-to-convex functions

2021 ◽  
Vol 6 (10) ◽  
pp. 10778-10788
Author(s):  
Zhenyong Hu ◽  
◽  
Xiaoyuan Wang ◽  
Jinhua Fan ◽  
Keyword(s):  
Unit Disk ◽  
Convex Functions ◽  
Schwarzian Derivative ◽  
Higher Order ◽  
Schwarzian Derivatives ◽  
Derivatives Of

<abstract><p>Let $ f(z) $ be analytic in the unit disk with $ f(0) = f'(0)-1 = 0 $. For the following close-to-convex subclasses: $ \Re \{(1-z)f'(z)\} &gt; 0, $ $ \Re \{(1-z^{2})f'(z)\} &gt; 0, $ $ \Re \{(1-z+z^{2})f'(z)\} &gt; 0 $ and $ \Re \{(1-z)^{2}f'(z)\} &gt; 0 $, we investigate the bounds for the first two consecutive derivatives of higher order Schwarzian derivatives of $ f(z) $.</p></abstract>

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