Fekete-Szego inequality for subclass of analytic function based on generalized derivative

In this present investigation, We define a subclass of analytic function M_{α, n, δ}(φ)obtained from Fekete Szego inequality for subclass of certain normalized analytic function f (z)defined on the open unit disk for which

(0 < α) lies in a region starlike with respect to I and is symmetric with respect to the real axis. The results of this paper give directions to other researchers to generalize the work in this field.