[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170137

ON SOME DIFFERENTIAL SUBORDINATION INVOLVING THE BESSEL-STRUVE KERNEL FUNCTION

Al-Dhuain, Mohammed (Department of Mathematics King Faisal University)
Mondal, Saiful R. (Department of Mathematics King Faisal University)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.2, 2018 , pp. 445-458 More about this Journal

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. 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;

Citations & Related Records

Reference

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