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Estimating the Argument of Some Analytic Functions

✍ Scribed by A.Z. Grinshpan; E.B. Saff

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
335 KB
Volume
88
Category
Article
ISSN
0021-9045

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✦ Synopsis

We consider a class of analytic functions that are closely related to approximate conformal mappings of simply connected domains onto the unit disk. Using a result of Warschawski, we improve upon our estimates of the argument in the considered class for the important case when the mapping is nearly circular. This new estimate is asymptotically sharp.

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