Properties For Certain Generalized Class Of Non-Bazilevi(?) Functions And Starlike Functions

Let A_n(p) be the class of functions of the form f(z)=z^p+sum from k=n to +∞(a_kz^d+p), which are analytic in the open unit disk U={z: |z|＜1}. In chapter one, we introduce a new subclass non-Bazilevi(?) C_n(μ, a, c,α, p;φ) of A_n(p) and investigate its subordination relations, inclusion relations, distortion theorems and its coefficent estimates. In chapter two, by using the method of differential inequities, we obtained some new and better results for certain classes of starlike functions and functions starlike with respect to symmetric points. The results obtained include the related results of some authors and some other new results are obtained.