Geometric Properties of Lommel Functions of the First Kind

Abstract

In the present paper, we find sufficient conditions for starlikeness and convexity of normalized Lommel functions of the first kind using the admissible function methods. Additionally, we investigate some inclusion relationships for various classes associated with the Lommel functions. The functions belonging to these classes are related to the starlike functions, convex functions, close-to-convex functions and quasi-convex functions.

Keywords

• Lommel functions
• univalent functions
• starlike functions
• convex functions
• inclusion relationships