On the Fekete–Szegö type functionals for functions which are convex in the direction of the imaginary axis

In this paper we consider two functionals of the Fekete–Szegö type: Φ f (μ)=a 2 a 4 -μa 3 and Θ for analytic functions f(z)=z+a z +a +..., z∈Δ, (Δ={z∈ℂ:|z|<1}) real numbers μ. For which is univalent convex in direction imaginary axis, find sharp bounds (μ) (μ). It possible to transfer results onto class