On the Brannan's conjecture

TL;DR

This paper proves the Brannan's conjecture for specific parameter values using an integral representation as the main analytical tool.

Contribution

It provides a proof of Brannan's conjecture for certain parameters, advancing understanding of the conjecture's validity.

Findings

Proof of Brannan's conjecture for particular parameter values

Utilization of an integral representation from recent literature

Enhanced understanding of the conjecture's scope

Abstract

We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].