Differential subordination and superordination of analytic functions defined by an integral operator. (English) Zbl 1213.30009

Aouf, M. K.; Seoudy, Tamer

Eur. J. Pure Appl. Math. 3, No. 1, 26-44 (2010).

Summary: Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of admissible functions. Sandwich type results are also obtained. Some of the results established in this paper provide extensions of those given in earlier works.

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

analytic function; integral operator; Hadamard product; differential subordination