Communications of the
Korean Mathematical Society CKMS

Let $S$ denote the class of analytic and univalent functions in the open unit disk $D=\left\{ z:\left\vert z\right\vert <1\right\} $ with the normalization conditions $f(0)=0$ and $f^{\prime }(0)=1$. In the present article, an upper bound for third order Hankel determinant $H_{3}\left( 1\right) $ is obtained for a certain subclass of univalent functions generated by Ruscheweyh derivative operator.

Keywords: univalent functions, Hankel determinant, Toeplitz determinant, Ruscheweyh derivative

MSC numbers: Primary 30C45, 30C50; Secondary 30C80