Coefficient bounds for the inverse of a function with derivative in 𝒫

Libera, Richard J.; Złotkiewicz, Eligiusz J.

doi:10.1090/S0002-9939-1983-0681830-8

Coefficient bounds for the inverse of a function with derivative in $\mathcal {P}$
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by Richard J. Libera and Eligiusz J. Złotkiewicz

Proc. Amer. Math. Soc. 87 (1983), 251-257

DOI: https://doi.org/10.1090/S0002-9939-1983-0681830-8

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Abstract:

Coefficient bounds for functions with a positive real part are used in a rather novel way to find sharp bounds for the first six coefficients of a function which is inverse to a regular normalized univalent function whose derivative has a positive real part in the unit disk.

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