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Commun. Korean Math. Soc. 2018; 33(2): 445-458
Online first article February 22, 2018 Printed April 30, 2018
https://doi.org/10.4134/CKMS.c170137
Copyright © The Korean Mathematical Society.
On some differential subordination involving the Bessel-Struve kernel function
Mohammed Al-Dhuain, Saiful R. Mondal
King Faisal University, King Faisal University
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 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: Bessel functions, Struve functions, Bessel-Struve kernel, starlike, close-to-convex
MSC numbers: 30C45, 33C10, 30C80, 40G05
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