Close-to-starlike logharmonic mappings

Zayid Abdulhadi

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-11

Abstract:

We consider logharmonic mappings of the form f = z | z | 2 β h g ¯ defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close-to-starlike logharmonic mappings. Representation theorems and distortion theorems are obtained. Moreover, we determine the radius of univalence and starlikeness of these mappings.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:859865

DOI: 10.1155/S0161171296000786

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