  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. An open problem in this aspect are also given. The third order
differential subordination involving the Bessel-Struve kernel is also
considered. The results are derived by defining suitable classes of admissible
functions. One of the recurrence relation of the Bessel-Struve kernel play an
important role to derive the main results.
