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    Publication Date: 2018-08-19
    Description: Symmetry, Vol. 10, Pages 348: Sharp Bounds on the Higher Order Schwarzian Derivatives for Janowski Classes Symmetry doi: 10.3390/sym10080348 Authors: Nak Eun Cho Virendra Kumar V. Ravichandran Higher order Schwarzian derivatives for normalized univalent functions were first considered by Schippers, and those of convex functions were considered by Dorff and Szynal. In the present investigation, higher order Schwarzian derivatives for the Janowski star-like and convex functions are considered, and sharp bounds for the first three consecutive derivatives are investigated. The results obtained in this paper generalize several existing results in this direction.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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