One some differential subordination involving the Bessel-Struve kernel function
Complex Variables
2016-02-01 v1
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.
Keywords
Cite
@article{arxiv.1601.07920,
title = {One some differential subordination involving the Bessel-Struve kernel function},
author = {Saiful R Mondal and Mohamed Al Dhuian},
journal= {arXiv preprint arXiv:1601.07920},
year = {2016}
}