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On the convex-exponent product of logharmonic mappings
Journal article   Open access  Peer reviewed

On the convex-exponent product of logharmonic mappings

Zayid AbdulHadi, Najla M. Alareefi and Rosihan M. Ali
Journal of inequalities and applications, Vol.2014(1), pp.1-10
08/12/2014
DOI: https://doi.org/10.1186/1029-242X-2014-485

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Sufficient conditions are obtained on two given logharmonic mappings f(1) and f(2) that ensure the product F(z) = f(1)(lambda)(z)f(2)(1-lambda) (z), 0 <= lambda <= 1, is a univalent starlike logharmonic mapping. Several illustrative examples are constructed from this product.
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https://doi.org/10.1186/1029-242X-2014-485View
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