Extensions of some sufficient conditions for starlikeness and convexity of order $\beta$
Extensions of some sufficient conditions for starlikeness and convexity of order $\beta$
投稿时间:2019-02-13  修订日期:2019-10-20
DOI:
中文关键词:  
英文关键词:Analytic functions  starlike function  convexity function  generalized Mitttag-Leffler function  generalized hypergeometric function.
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作者单位E-mail
Wang Xiaoyuan 萍乡学院 mewangxiaoyuan@163.com 
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中文摘要:
      
英文摘要:
      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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