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De Branges's theorem

In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order for it to map the open unit disk of the complex plane injectively to the complex plane. It was posed by Ludwig Bieberbach (1916) and finally proven by Louis de Branges (1985).

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Schlicht functions

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De Branges's proof

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De Branges's theorem

Nodes47
Edges46
Triples0
Avg. degree1.96
Density0.042553
Components1

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conjecture displaystyle bieberbach doi function functions 10 schlicht de proof branges proved mr mathematical unit disk theorem coefficients complex univalent

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