Extensions of Some Sufficient Conditions for Starlikeness and Convexity of Order β

• 作 者: Xiaoyuan WANG
• 机 构: School of Engineering and Management, Pingxiang University, Jiangxi 337055, P.R.China
• 出 处: 数学研究及应用
• 发表日期: 2020年3期
• 关键词: Analytic functions starlike function convexity function generalized Mitttag-Leff

The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operators εγα,λ and Hιm(α1) related to the generalized Mittag-Leffler function Eγα,λ and the generalized hypergeometric function,defined in the unit disk,respectively.The results presented here make connections to some of the earlier known developments.