A New Look for Starlike Logharmonic Mappings

Zayid  Abdulhadi

doi:10.4236/am.2014.57099

Zayid Abdulhadi

Abstract: A function f(z) defined on the unit disc U is said to be logharmonic if it is the solution of the nonlinear elliptic partial differential equation where such that . These mappings admit a global representation of the form where In this paper,we shall consider the logharmonic mappings , where is starlike. Distortion theorem and radius of starlikess are obtained. Moreover, we use star functions to determine the integral means for these mappings. An upper bound for the arclength is included.

Keywords: A New Look for Starlike Logharmonic Mappings

Cite this paper: Abdulhadi, Z. (2014) A New Look for Starlike Logharmonic Mappings. Applied Mathematics, 5, 1053-1060. doi: 10.4236/am.2014.57099.

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