Abstract

In this paper, we introduce a new general integral operator defined by Hadamard product. Some properties involving this operator on a class of functions of complex order are determined . Furthermore, we obtained new sufficient conditions for this operator to be univalent in the open unit disc. Finally, we prove several subordination results involving starlike and convex functions of complex order. Several corollaries and consequences of the main results are also considered.

Keywords: Analytic and univalent functions; starlike and convex functions of complex order; Hadamard product; subordination; integral operator.

MSC: 30C45

Pages:  127$-$136     

Volume  62 ,  Issue  2 ,  2010