ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION

Abstract

In the present paper, we prove the growth and distortion theorems for the spirallike functions class S-k(lambda) related to boundary radius rotation, and by using the distortion result, we get an estimate for the Gaussian curvature of a minimal surface lifted by a harmonic function whose analytic part belongs to the class S-k (lambda). Moreover, we determine and draw the minimal surface corresponding to the harmonic Koebe function.