Higher order schwarzian derivatives for convex univalent functios

M. Dorff^a, J. Szynal<sup>b

a</sup> Brigham Young University
^b Maria Curie-Sklodowska University, Lublin

Abstract: 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.

UDC: 517.54

Language: English

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