Early coefficients of the inverse of a regular convex function

Libera, Richard J.; Złotkiewicz, Eligiusz J.

doi:10.1090/S0002-9939-1982-0652447-5

Early coefficients of the inverse of a regular convex function
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by Richard J. Libera and Eligiusz J. Złotkiewicz PDF

Proc. Amer. Math. Soc. 85 (1982), 225-230 Request permission

Abstract:

Using known properties of functions of positive real part it is shown that the first seven coefficients of the inverse of a regular univalent function mapping the disk onto a convex region are bounded by 1.

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