Higher order schwarzian derivatives for convex univalent functios
Problemy analiza, no. 15 (2008), pp. 7-11
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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.
@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/}
}
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/