Two integral operators on the class N(β)N(β)

Let N(β)N(β) be the subclass of analytic functions f(z)f(z), which satisfies the inequality Re{zf″(z)f′(z)+1}<β. In this paper, we determine conditions on ββ such that the integral operators ∫0z∏i=1n(fi(t)t)1αidt and ∫0z(tefi(t))γidt will be in the class N(β)N(β).