Numerical solution of the omitted area problem of univalent function theory

The omitted area problem was posed by Goodman in 1949: what is the maximum area $A^*$ of the unit disk D that can be omitted by the image of the unit disk under a univalent function normalized by f(0)=0 and f'(0)=1? The previous best bounds were 0.240005$\pi$ < $A^*$ < .31$\pi$. H...

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Bibliographic Details
Main Authors: Banjai, L, Trefethen, L
Format: Report
Published: Unspecified 2001

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