A proof of the Bieberbach conjecture

1985/01/01 by Louis Branges, Louis de Branges · 19 citations
Mathematics · #Advanced Topics in Algebra #Graph theory and applications #Advanced Banach Space Theory

paper · pdf · doi:10.1007/bf02392821

Abstract

In 1916, L. Bieberbach holds for every power series E~=~ a n z n with constant coefficient zero which represents a function with distinct values at distinct points of the unit disk. He also conjectured that equality holds with n>l only for a constant multiple of the Koebe function

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