一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果  

Subordination and Superordination Results for a Certain of Integral Operator Involving Generalized Mittag-Leffler Functions

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作  者:王小元 刘亚娟 WANG Xiao-yuan;LIU Ya-juan(School of Engineering and Management,Pingxiang University,Pingxiang 337055,China;School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区:[1]School of Engineering and Management,Pingxiang University,Pingxiang 337055,China [2]School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China

出  处:《Chinese Quarterly Journal of Mathematics》2023年第4期379-391,共13页数学季刊(英文版)

基  金:Supported by the Scientific Research Fund of Jiangxi Provincial Department of Education(Grant No.GJJ191157);the Science and Technology support project of Pingxiang City(Grant No.2020C0102);the National Natural Science Foundation of China(Grant No.62063029).

摘  要:In the paper,by making use of the principle of subordination between analytic functions with the multiplier transforms defined by generalized Mittag-Leffler function,the authors investigate subclasses of univalent analytic functions,such as starlike functions,convex functions,close-to-convex functions and quasiconvex functions.Several inclusion relationships,inequality properties,subordination and superordination results associated with the multiplier transforms are proved and the sandwich-type results are also obtained.

关 键 词:Analytic functions Mittag-Leffler function Differential subordination and differential superordination Hadamard product(or Convolution) 

分 类 号:O174.5[理学—数学]

 

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