一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果

doi:10.13371/j.cnki.chin.q.j.m.2023.04.005

数学季刊 ›› 2023, Vol. 38 ›› Issue (4): 379-391.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.005

一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果

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

收稿日期:2022-06-26 出版日期:2023-12-30 发布日期:2023-12-15
通讯作者: WANG Xiao-yuan (1990-), male, native of Handan, Hebei, assistant of Pingxiang University, engages in complex analysis; E-mail:mewangxiaoyuan@163.com
作者简介:WANG Xiao-yuan (1990-), male, native of Handan, Hebei, assistant of Pingxiang University, engages in complex analysis; LIU Ya-juan (1997-), female, native of Heze, Shandong, postgraduate of Nanjing University of Science and Technology, engages in complex analysis.
基金资助:
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) and the National Natural Science Foundation of China (Grant No. 62063029).

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

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

Received:2022-06-26 Online:2023-12-30 Published:2023-12-15
Contact: WANG Xiao-yuan (1990-), male, native of Handan, Hebei, assistant of Pingxiang University, engages in complex analysis; E-mail:mewangxiaoyuan@163.com
About author:WANG Xiao-yuan (1990-), male, native of Handan, Hebei, assistant of Pingxiang University, engages in complex analysis; LIU Ya-juan (1997-), female, native of Heze, Shandong, postgraduate of Nanjing University of Science and Technology, engages in complex analysis.
Supported by:
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) and the National Natural Science Foundation of China (Grant No. 62063029).

摘要/Abstract

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, Haadamard product (or Convolution)

Abstract: 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.

Key words: Analytic functions, Mittag-Leffler function, Differential subordination and differential superordination, Haadamard product (or Convolution)

中图分类号:

O174.5

王小元, 刘亚娟. 一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果[J]. 数学季刊, 2023, 38(4): 379-391.

WANG Xiao-yuan, LIU Ya-juan. Subordination and Superordination Results for a Certain of Integral Operator Involving Generalized Mittag-Leffler Functions[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 379-391.

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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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