Bound on the third order hankel determinant for certain subclasses of analytic function / Nurkhairiah Wahidah Ibrahim

In analytic functions, there have many subclasses of class of function such as class of convex function, class of close-to-convex function and class of starlike function, but this research only focusing on class of starlike function. Nowadays, many classes of function are developed by some researchers, but some of the properties did not discover yet. It is hard to know whether the methods used are suitable to obtain the wanted properties. In order to derive coefficient bound a few methods are used to get the results such that power series, comparisons of coefficient with positive real part, relative minima and maxima and triangle inequalities. Next, Toeplitz determinant is used to prove the sharp bound for third Hankel determinants.