数学季刊 ›› 2022, Vol. 37 ›› Issue (2): 111-123.doi: 10.13371/j.cnki.chin.q.j.m.2022.02.001

• •    下一篇

与 Mittag-Leffler 函数有关的多叶亚纯函数的优化和 Fekete-Szegö 问题

  

  1. 1. School of Mathematics and Statistics, Ningxia University, Yinchuan 750000, China; 2. School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore 632014, India;
    3. School of Mathematics and Computer Science, Ningxia Normal University, Guyuan 756099, China
  • 收稿日期:2021-10-04 出版日期:2022-06-30 发布日期:2022-06-30
  • 通讯作者: LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application. E-mail:longph@nxu.edu.cn
  • 作者简介: LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application; GANGADHARAN Murugusundaramoorthy (1967-), male, native of Vellore, professor of Vellore Institute of Technology, engages in complex analysis; HAN Hui-li (1972-), female, native of Yinchuan, Ningxia, professor of Ningxia Normal University, engages in complex analysis and its application; WANG Wen-shuai (1980-), male, native of Guyuan, Ningxia, associate professor of Ningxia University, engages in complex analysis and its application.
  • 基金资助:

    Supported by Natural Science Foundation of Ningxia (Grant No. 2020AAC03066);

    National Natural Science Foundation of China (Grant Nos. 42064004 and 11762016)

Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function

  1. 1. School of Mathematics and Statistics, Ningxia University, Yinchuan 750000, China; 2. School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore 632014, India;
    3. School of Mathematics and Computer Science, Ningxia Normal University, Guyuan 756099, China
  • Received:2021-10-04 Online:2022-06-30 Published:2022-06-30
  • Contact: LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application. E-mail:longph@nxu.edu.cn
  • About author: LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application; GANGADHARAN Murugusundaramoorthy (1967-), male, native of Vellore, professor of Vellore Institute of Technology, engages in complex analysis; HAN Hui-li (1972-), female, native of Yinchuan, Ningxia, professor of Ningxia Normal University, engages in complex analysis and its application; WANG Wen-shuai (1980-), male, native of Guyuan, Ningxia, associate professor of Ningxia University, engages in complex analysis and its application.
  • Supported by:

    Supported by Natural Science Foundation of Ningxia (Grant No. 2020AAC03066);

    National Natural Science Foundation of China (Grant Nos. 42064004 and 11762016)

摘要: The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szeg¨ o type inequalities are obtained. Moreover we point out some new or known consequences of our main results.

关键词: Meromorphic function, Majorization problem, Hadamard product (convolution), Mittag-Leffler function, Fekete-Szeg? inequality

Abstract: The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szeg¨ o type inequalities are obtained. Moreover we point out some new or known consequences of our main results.

Key words: Meromorphic function, Majorization problem, Hadamard product (convolution), Mittag-Leffler function, Fekete-Szeg? inequality

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