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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1971-0310227-5
PII: S 0025-5718(1971)0310227-5
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