ON SOME DIFFERENTIAL SUBORDINATION INVOLVING THE BESSEL-STRUVE KERNEL FUNCTION

摘要

In this article we study the inclusion properties of the Bessel- Struve kernel functions in the Janowski class. In particular, we find the conditions for which the Bessel-Struve kernel functions maps the unit disk to right half plane. Some open problems with this aspect are also given.The third order differential subordination involving the Bessel-Struve ker-nel is also considered. The results are derived by defining suitable classesof admissible functions. One of the recurrence relation of the Bessel-Struve kernel play an important role to derive the main results.