On some differential subordination involving the Bessel-Struve kernel function

Mohammed Al-Dhuain, Saiful Mondal

Research output: Contribution to journalJournal articlepeer-review

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.

Original languageEnglish
Pages (from-to)445-458
Number of pages14
JournalCommunications of the Korean Mathematical Society
Volume33
Issue number2
DOIs
StatePublished - 2018

Keywords

  • Bessel functions
  • Bessel-Struve kernel
  • Close-to-convex
  • Starlike
  • Struve functions

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