Abstract
1984 has been an exciting year for complex analysis. It even brought strong rumors that the Riemann hypothesis had been proved, but so far, the rumor has not been confirmed. However, we know for sure that the difficult Bieberbach conjecture has been settled this year. As many of you know, this famous conjecture of 1916 concerns the class S of normalized injective holomorphic functions. That class consists of the 1-1 holomorphic functions from the unit disc U into the complex plane C with a power series of the form
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