Coefficient bounds for the inverse of a function whose derivative has a positive real part (Q1330247)

\textit{R. Libera} and the reviewer [Proc. Am. Math. 87, 251-257 (1993; Zbl 0499.30015)] conjectured that Taylor coefficients of the inverse to a univalent function whose derivative has the positive real part are bounded by the corresponding coefficients of the inverse to the function \(f_ 0(z)= -z- 2\log (1-z)\). Then [ibid. 92, 58-60 (1984; Zbl 0538.30011)] they gave a proof of that conjecture. Here the author gives another proof which essentially does not differ from the earlier one.