Bieberbach conjecture

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Bieberbach conjecture [′bē·bə‚bäk kən‚jek·chər]

(mathematics)

The proposition, proven in 1984, that if a function ƒ(z) is analytic and univalent in the unit disk, and if it has the power series expansionz+a₂z²+a₃z³+ ⋯, then, for alln(n = 2, 3, …), the absolute value ofa_nis equal to or less thann.

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No references found			Like many things everybody knows, this is not in fact true: de Branges was fifty-two when he proved the truth of the Bieberbach Conjecture, which had vexed the best minds for seventy years. The Universal Computer: The Road from Leibniz to Turing by Derbyshire, John / New Criterion Like many things everybody knows, this is not in fact true: de Branges was fifty-two when he proved the truth of the Bieberbach Conjecture, which had vexed the best minds for seventy years. The Computer and the Brain by Derbyshire, John / New Criterion			bidirectional antenna bidirectional clamping circuit bidirectional clipping circuit bidirectional counter bidirectional data bus bidirectional microphone bidirectional parallel port bidirectional printer bidirectional printing bidirectional pulse-amplitude modulation bidirectional replication bidirectional transducer bidirectional transistor bidirectional triode thyristor Bidkar Bidouilleurs Sans Argent Bidpai Bidstrup, Herluf Biducht Bidwell Mansion State Historic Park Bidwell, John Bidwell-Sacramento River State Park Bie Bié Bié Plateau Bieberbach conjecture bieberite Biebl, Konstantin Biebrich red Biedenharn identity Biedermeier Biedermeier style Biel Biel, Gabriel Biel- Biela Comet Biela's Comet Bielawa Bielefeld Bieler, Manfred Bieliauskas, Alfonsas Bielids Bielitz Biella Bielski, Marcin Bielski, Martin Bielsko-Biala Bien Hoa Bienayme-Chebyshev inequality Bienewitz, Peter Bienne			biduotertian fever biduous BIDV Bidville Inc. BIDW Bidwell Mansion Bidwell Mansion State Historic Park Bidwell Park Junior Golf Association Bidwell Park Master Management Plan Bidwell Sacramento River State Park Bidwell Training Center, Inc. Bidwell's experiment Bidwell's ghost Bidwell, John Bidwell-Sacramento River State Park Bidyanus bidyanus Bie Bie Bie Bié Bie plateau Bié Plateau BIE/MOMI BIEA BIEAP Bieber Bieberbach conjecture bieberite Biebl, Konstantin Biebrich red Biebrich scarlet BIEC BIECC Biedemeier Biedemeier Biedenharn identity Biederman Redevelopment Ventures Biedermeier Biedermeier Biedermeier Style Biedermeier Style Biedermeier style furniture Biedermeier style furniture BIEDO BIEE BIEEC BIEF BIEFF Bieford BIEI BIEIP BIEK Biel Biel Biel Biel, Gabriel Biel-

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