# Radii of starlikeness and convexity of generalized Struve functions

## TL;DR

This paper investigates the geometric properties of normalized generalized Struve functions, specifically their radii of starlikeness and convexity, providing bounds using Euler-Rayleigh inequalities and properties of entire functions.

## Contribution

It introduces new bounds for the radii of starlikeness and convexity of generalized Struve functions using Euler-Rayleigh inequalities and the Laguerre-Pólya class.

## Key findings

- Derived tight bounds for radii of starlikeness and convexity.
- Established the role of Laguerre-Pólya class in these geometric properties.
- Applied Euler-Rayleigh inequalities to obtain bounds.

## Abstract

In this paper, it is aimed to determine the radii of starlikeness and convexity of the normalized generalized Struve functions for three different kinds of normalization and to find tight lower and upper bounds for the radius of starlikeness and convexity of these normalized Struve functions by making use of Euler-Rayleigh inequalities. The Laguerre-P\'olya class of entire functions has a crucial role in constructing our main results.