Fourth Hankel Determinant for the Set of Star-Like Functions

In this paper, we derive a bound of the fourth Hankel determinant for the class of star-like functions. We also consider this problem for 2-fold and <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mn>3</a:mn></a:math> -fold symmetric star-like functions. In this case, we obtain sharp results.