In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya [16], suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are presented. As a consequence, various sandwich-type theorems are established for a class of univalent analytic functions involving the celebrated Srivastava-Attiya transform. Relevant connections of the new results are pointed out.

In the present paper, we derive the third-order differential subordination and superordination results for some analytic univalent functions defined in the unit disc.These results are associated with generalized Struve functions and are obtained by considering suitable classes of admissible functions. As a consequence, the dual problems which yield the sandwich type relations are presented.

No abstract

No abstract