Extensions of some sufficient conditions for starlikeness and convexity of order $\beta$
Extensions of some sufficient conditions for starlikeness and convexity of order $\beta$

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 作者 单位 E-mail Wang Xiaoyuan 萍乡学院 mewangxiaoyuan@163.com

The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operators $\mathcal{E}_{\alpha, \lambda}^{\gamma}$ and $H_{m}^{l}(\alpha_1)$ related to the generalized Mittag-Leffler function $E_{\alpha, \lambda}^{\gamma}$ and the generalized hypergeometric function, defined in the unit disk, respectively. The results presented here make connections to some of the earlier known developments.
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