Improved geometric properties of generalized Struve function

Abstract

In this article, we prove certain improved geometric properties like univalence, starlike, convex, close-to-convex, and strongly starlike of order $\alpha$ for the generalized Struve function in the open unit disk. The article presents new procedures to prove these results, which rely on differential inequalities for normalized analytic functions in the open unit disk. Additionally, certain specific cases are demonstrated to explain the improvement in existing results. Finally, the article establishes a monotonicity property for the generalized Struve function in the open unit disk.