Properties For an Integral Operator on the Class of Close-to-Convex Functions

Abstract

The purpose of this paper is to prove that the functions generated by the in-
tegral operator I(f; g)(z) =
Rz
0
nQ
i=1

fi(t)
gi(t)

i
dt are in the class of close-to-convex functions,
considering the analytical functions fi and gi from the classes of starlike and close-to-
starlike functions.