# Hankle determinant for starlike and convex functions of order

**Authors:** A.A. Amourah, Anas Aljarah, and M. Darus

arXiv: 1903.11182 · 2019-03-28

## TL;DR

This paper establishes an upper bound for the second Hankel determinant in the class of starlike and convex functions of a given order, contributing to the understanding of their geometric properties.

## Contribution

It provides a new upper bound for the second Hankel determinant specifically for starlike and convex functions of order, advancing the theoretical analysis of these function classes.

## Key findings

- Derived an explicit upper bound for the second Hankel determinant.
- Enhanced understanding of the geometric function classes.
- Contributed to the theoretical framework of univalent functions.

## Abstract

The aim of this paper is to obtain an upper bound to the second Hankel the determinant for starlike and convex functions of order.

## Full text

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## References

20 references — full list in the complete paper: https://tomesphere.com/paper/1903.11182/full.md

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Source: https://tomesphere.com/paper/1903.11182