Certain geometric properties of the Wright function

Abstract

In this work, the Wright function with their normalizations are considered. Several conditions are obtained so that the Wright function has certain geometric properties including univalency, starlikeness, convexity and close-to-convexity in the open unit disk. Results obtained are new and their usefulness are depicted by deducing several interesting corollaries and relevance with some of the earlier results are also pointed out.

Keywords:

• univalent function
• starlike function
• convex functions
• close-to-convex functions
• subordination
• Wright functions
• Bassel functions

AMS Subject Classification:

• 30C45

View correction statement:

Corrigendum to ‘Certain geometric properties of the Wright function’

Acknowledgments

The author is grateful to the referees for the valuable comments.