Properties of certain integral operators (Q5929898)

In the paper a family of integral operators depending on some parameters and defined on the class analytic in the unit disk functions with Taylor's expending of the form \(f(z)=z^p+ \sum^\infty_{n=p+1} a_nz^n\) is introduced. Some properties of the operators are derived. The properties are formulated in terms of subordination. For certain parameters these results contain some previous results.