The subclasses S*($alpha,eta,mu$) and C*($alpha,eta,mu$) ($0leqqalpha<1,;0<etaleqq1$ and $0leqqmuleqq1$) of T the class of analytic and univalent functions of the form $$f(z)=z-sumlimit^{infty}_{n=2}mid a_nmid z^n$$ have been considered. Sharp results concerning coefficients, distortion of functions belonging to S*($alpha,eta,mu$) and C*($alpha,eta,mu$) are determined along with a representation formula for the functions in S*($alpha,eta,mu$). Furthermore, it is shown that the classes S*($alpha,eta,mu$) and C*($alpha,eta,mu$) are closed under arithmetic mean and convex linear combinations. Also in this paper, we find extreme points and support points for these classes.