| $\beta$阶星象函数和凸象函数的几个充分条件的扩展 |
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| 引用本文： | 王小元.$\beta$阶星象函数和凸象函数的几个充分条件的扩展[J].数学研究及应用,2020,40(3):275-286. |
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| 作者姓名： | 王小元 |
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| 作者单位： | 萍乡学院工程与管理学院, 江西 萍乡 337055 |
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| 基金项目： | 萍乡学院青年科学基金(Grant Nos. 2019D0202; 2018D0218; 2018D0208). |
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| 摘 要： | 本文目的是研究了两个新算子$\mathcal{E}_{\alpha, \lambda}^{\gamma}$和$H_{m}^{l}(\alpha_1)$的星形和凸性的几个充分条件, 分别与定义在单位圆盘的广义Mittag-Leffler函数$E_{\alpha, \lambda}^{\gamma}$和广义超几何函数有关.本文得出的结果与早期的一些已知结果建立联系.
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| 关 键 词： | 解析函数 星象函数 凸象函数 广义Mittag-Leffler函数 广义超几何函数 |
| 收稿时间： | 2019/2/13 0:00:00 |
| 修稿时间： | 2019/10/29 0:00:00 |
Extensions of Some Sufficient Conditions for Starlikeness and Convexity of Order $\beta$ |
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| Xiaoyuan WANG.Extensions of Some Sufficient Conditions for Starlikeness and Convexity of Order $\beta$[J].Journal of Mathematical Research with Applications,2020,40(3):275-286. |
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| Authors: | Xiaoyuan WANG |
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| Institution: | School of Engineering and Management, Pingxiang University, Jiangxi 337055, P. R. China |
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| Abstract: | 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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| Keywords: | Analytic functions starlike function convexity function generalized Mitttag-Leffler function generalized hypergeometric function |
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