On analytic slit mappings in the class Σ

Abu-Muhanna, Yusuf; Leung, Y. J.

doi:10.1090/S0002-9939-1987-0866427-2

On analytic slit mappings in the class $\Sigma$
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by Yusuf Abu-Muhanna and Y. J. Leung PDF

Proc. Amer. Math. Soc. 99 (1987), 44-48 Request permission

Abstract:

We show that any analytic slit mapping is a support point in $\Sigma$. As an application, we use Schiffer’s theory to show that a rational slit mapping must be of the form $z{\text { + }}{a_0} + {a_1}/(z - {z_1})$.

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Truncation

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Support points with maximum radial angle

84f

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