Title of article :
Norm estimates for the Alexander transforms
of convex functions of order alpha
Author/Authors :
J.H. Choi، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
The hyperbolic sup norm of the pre-Schwarzian derivative of a locally univalent function on the
unit disk measures the deviation of the function from similarities. We present sharp norm estimates
for the Alexander transforms of convex functions of order α, 0 α <1.
2004 Elsevier Inc. All rights reserved
Keywords :
Alexander transform , Convex of order ? , Hypergeometric function , Univalent function
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications