# Geometric properties of a certain class of functions related to the Fox-Wright functions

## TL;DR

This paper establishes sufficient conditions under which normalized Fox-Wright functions exhibit geometric properties such as univalence, convexity, and starlikeness within the unit disk, extending understanding of their geometric behavior.

## Contribution

It provides new sufficient conditions for geometric properties of normalized Fox-Wright functions, linking them to generalized hypergeometric functions.

## Key findings

- Normalized Fox-Wright functions are close-to-convex and univalent under certain conditions
- Conditions for convexity and starlikeness are derived for these functions
- Results extend geometric function theory to a broader class related to hypergeometric functions

## Abstract

The purpose of this paper is to provide a set of sufficient conditions so that the normalized form of the Fox-Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disc. In particular, we study some geometric properties for some class of functions related to the generalized hypergeometric functions.