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Upper bound on the third Hankel determinant for functions defined by Ruscheweyh derivative operator

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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.

Abstract

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.

참고문헌 (26)

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