Chinese Quarterly Journal of Mathematics ›› 2023, Vol. 38 ›› Issue (4): 379-391.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.005

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

  

  1. 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).

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)

CLC Number: