Second hankel determinant for certain class close to convex functions

In the present investigation, we determine the second Hankel determinant H₂ (2) for a class of close-to-convex functions for which −z ² f ‘(z)/g (z) g (−z) ≾ p φ(z) where φ(z) is an analytic function with the positive real part satisfying φ(0)= 1 and φ ‘(z)> 0, f is analytic and g is starlike of order 1/2.