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Mathematics of Computation

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On the computation of some Grunsky coefficients relevant to the Bieberbach conjecture

Author: George G. Ross
Journal: Math. Comp. 25 (1971), 733-741
MSC: Primary 30A34
MathSciNet review: 0310227
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Abstract: The Bieberbach coefficients ${a_8},{a_{10}},{a_{12}}$ are parametrized in terms of the Grunsky coefficients. A digital computer is used to carry out the necessary integer calculations.

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Keywords: Bieberbach conjecture, Koebe function, Grunsky coefficients, univalent functions, maximum principle, unitary matrix, Lagrange multipliers, overflow, fixed-point arithmetic
Article copyright: © Copyright 1971 American Mathematical Society