On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

Abstract

The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived. We found conditions under which the generalized Bessel–Struve function is Lemniscate convex by using a subordination technique. The relation between the Janowski class and exponential class is also derived.

Keywords

• Bessel–Struve kernel functions
• subordination
• Lemniscate convex
• Janowski class
• exponential class