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) 

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 08:18 
Last Modified:  29 May 2015 18:55 
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