# On some $n$-starlike integral operators

## TL;DR

This paper proves that certain generalized integral operators preserve $n$-starlikeness in the unit disk, extending and improving upon previous results in geometric function theory.

## Contribution

It completes a lemma of Babalola and Opoola and demonstrates that these operators maintain $n$-starlikeness, broadening the scope of known preservation results.

## Key findings

- Generalized integral operators preserve $n$-starlikeness in the unit disk.
- The results extend and improve previous theorems in the field.
- The paper completes a key lemma to establish these properties.

## Abstract

By a completion of a lemma of Babalola and Opoola \cite{KT}, we prove that certain generalized integral operators preserve $n$-starlikeness in the open unit disk $E=\{z\in \mathbb{C}: |z|<1\}$. Our results generalize, extend and improve many known ones.