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arXiv · 1601.07920

One some differential subordination involving the Bessel-Struve kernel function

Saiful R Mondal·Mohamed Al Dhuian
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Abstract

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.

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Saiful R Mondal, Mohamed Al Dhuian. 2016-01-28. One some differential subordination involving the Bessel-Struve kernel function. https://arxiv.org/abs/1601.07920

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