Properties for an Integral Operator on the Class of Close-To-Convex Functions

Nicoleta Ularu

The purpose of this paper is to prove that the functions generated by the integral operator \[ I(f,g)(z)=ıt_{0}^{z}rod_{i=1}^{n}\bigg(\frac{f_i(t)}{g_i(t)}\bigg)^{\gamma_i}dt \] are in the class of close-to-convex functions, considering the analytical functions $f_i$ and $g_i$ from the classes of starlike and close-to-starlike functions.