Banjai, Lehel and Trefethen, Lloyd N. (2001) *Numerical solution of the omitted area problem of univalent function theory.* Technical Report. Unspecified. (Submitted)

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## Abstract

The omitted area problem was posed by Goodman in 1949: what is the maximum area 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 < < .31. Here the problem is addressed numerically and it is found that these estimates are slightly in error. To ten digits, the correct value appears to be = 0.2385813248.

Item Type: | Technical Report (Technical Report) |
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Subjects: | D - G > Functions of a complex variable H - N > Numerical analysis |

Research Groups: | Numerical Analysis Group |

ID Code: | 1228 |

Deposited By: | Lotti Ekert |

Deposited On: | 20 May 2011 09:18 |

Last Modified: | 20 May 2011 09:18 |

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