Coefficient estimates for certain classes of analytic functions

Abstract

Bounds on early coefficients of analytic functions normalized by f(0)=f^'(0)-1=0 which satisfy Re (〖f(z)〗^(α-1) f^' (z))/z^(α-1) (1+(zf^'' (z))/(f^' (z) ))>0 in the unit disk U ={z∈ C:|z|<1} are obtained using known properties of functions with positive real part