Typically real logharmonic mappings

Zayid Abdulhadi

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-9

Abstract:

We consider logharmonic mappings of the form f ( z ) = z | z | 2 β h g ¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of such mappings.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:813194

DOI: 10.1155/S0161171202111100

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