Extensions of Some Sufficient Conditions for Starlikeness and Convexity of Orderβ  

作　　者：Xiaoyuan WANG 

机构地区：[1]School of Engineering and Management,Pingxiang University,Jiangxi 337055,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第3期275-286,共12页数学研究及应用（英文版）

基　　金：the Youth Science Fund Research Project of Pingxiang University(Grant Nos.2019D0202,2018D0218,2018D0208);the Youth Fund Project of Science and Technology Research Project of Jiangxi Provincial Department of Education(Grant No.GJJ191157)。

摘　　要：The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operatorsεα,λ^γand Hm^l(α1)related to the generalized Mittag-Leffler function Eα,λ^γand the generalized hypergeometric function,defined in the unit disk,respectively.The results presented here make connections to some of the earlier known developments.

关 键 词：Analytic functions starlike function convexity function generalized Mitttag-Leffler function generalized hypergeometric function 

分 类 号：O177[理学—数学]