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

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

作     者:Xiaoyuan WANG Xiaoyuan WANG

作者机构:School of Engineering and Management Pingxiang University 

出 版 物:《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期:2020年第40卷第3期

页      面:275-286页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by 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) 

主  题:Analytic functions starlike function convexity function generalized Mitttag-Leffler function generalized hypergeometric function 

摘      要:The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operators ε~γ and H~l(α) related to the generalized Mittag-Leffler function E~γ and the generalized hypergeometric function,defined in the unit disk,*** results presented here make connections to some of the earlier known developments.

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