Third Hankel determinant for Ma-Minda bi-univalent functions
Received:September 05, 2018  Revised:December 22, 2018
Key Word: analytic function, Hankel determinant, Ma-Minda bi-univalent function, upper bound
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 Author Name Affiliation E-mail Zhang Hai Yan Chifeng University cfxyzhhy@163.com Huo Tang Chifeng University thth2009@163.com
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Abstract:
In this paper, we investigate the third Hankel determinant $H_{3}(1)$ for the class $H^{\mu}_{\sigma}(\lambda, \varphi)~(\lambda\geq1,~\mu\geq1)$ of Ma-Minda bi-univalent functions in the open unit disk $\mathbb{D}=\{z:|z|&amp;lt;1\}$ and obtain the upper bound of the above determinant $H_{3}(1)$.
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