Problemy analiza, no. 15 (2008), pp. 7-11
Citer cet article
M. Dorff; J. Szynal. Higher order schwarzian derivatives for convex univalent functios. Problemy analiza, no. 15 (2008), pp. 7-11. http://geodesic.mathdoc.fr/item/PA_2008_15_a1/
@article{PA_2008_15_a1,
author = {M. Dorff and J. Szynal},
title = {Higher order schwarzian derivatives for convex univalent functios},
journal = {Problemy analiza},
pages = {7--11},
year = {2008},
number = {15},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PA_2008_15_a1/}
}
TY - JOUR
AU - M. Dorff
AU - J. Szynal
TI - Higher order schwarzian derivatives for convex univalent functios
JO - Problemy analiza
PY - 2008
SP - 7
EP - 11
IS - 15
UR - http://geodesic.mathdoc.fr/item/PA_2008_15_a1/
LA - en
ID - PA_2008_15_a1
ER -
%0 Journal Article
%A M. Dorff
%A J. Szynal
%T Higher order schwarzian derivatives for convex univalent functios
%J Problemy analiza
%D 2008
%P 7-11
%N 15
%U http://geodesic.mathdoc.fr/item/PA_2008_15_a1/
%G en
%F PA_2008_15_a1
We observe that in contrast to the class $S$, the extremal functions for the bound of higher order Schwarzian derivatives for the class $S^{c}$ of convex univalent functions are different. We prove the sharp bound for three first consecutive derivatives.
