The Fekete-Szego spacing diaeresis functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator

In this paper, we introduce and study a new subclass of normalized functions that are analytic and univalent in the open unit disk U = {z : z is an element of C and vertical bar z vertical bar < 1}, which satisfies the following geometric criterion: R(L-u,v(w) f(z)/z (1 - e(-2i phi) mu(2)z(2))e(i phi)) > 0 where z is an element of U, 0 <= mu <= 1 and phi is an element of (-pi/2, pi/2), and which is associated with the Hohlov operator L-u,v(w). For functions in this class, the coe fficient bounds, as well as upper estimates for the Fekete-Szego functional and the Hankel determinant, are investigated.