TITLE:
A New Look for Starlike Logharmonic Mappings
AUTHORS:
Zayid Abdulhadi
KEYWORDS:
A New Look for Starlike Logharmonic Mappings
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.7,
April
15,
2014
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.