On geometrical properties of logharmonic mappings
Abstract
In this paper, we find the radius of the disk r such that every starlike logharmonic mapping f(z) of order α , is starlike in % |z|≤ r with respect to any point of r. We also establish a relation between the set of starlike logharmonic mappings \ and the set of starlike logharmonic mappings of order alpha. Moreover, the radius of starlikeness and univalence for the set of close to starlike logharmonic mappings of order α is determined.
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