Second Hankel determinant for bounded turning functions of order beta of certain subclasses of analytic functions

Let U ( β, γ, t ) denote the generalized class of normalized analytic univalent functions the unit disk, E = {Z:|Z|<1} and satisfy Re ⁡ { e i β f ′ ( z ) h ′ ( z ) } 〉 γ where | β | 〈 π , c o s ( β ) 〉 γ , 0 ⩽ γ 〈 1 , h ′ ( z ) = 1 ( 1 − t z ) ( 1 − z ) , − 1 〈 t ⩽ 1 and z ∈ E . In this paper, we have found upper bound of second Hankel determinant, | a 2 a 4 − a 3 2 | for f { U ( β, γ, t ).