Majorization Results for Subclasses of Starlike Functions Based on the Sine and Cosine Functions

  • Huo TangEmail author
  • H. M. Srivastava
  • Shu-Hai Li
  • Guan-Tie Deng
Original Paper


The object of this paper was to study two majorization results for the subclasses \(S^*_{s}\) and \(S^*_{c}\) of starlike functions, which are, respectively, associated with the sine and cosine functions, without acting upon any linear or nonlinear operators to the above function classes.


Analytic function Principle of subordination Majorization Starlike functions Sine and cosine functions 

Mathematics Subject Classification

30C45 30C80 



The research of the first-named author (Huo Tang) was partly supported by the Natural Science Foundation of the People’s Republic of China under Grants 11561001 and 11271045, the Program for Young Talents of Science and Technology in the Universities of Inner Mongolia Autonomous Region under Grant NJYT-18-A14, the Natural Science Foundation of Inner Mongolia of the People’s Republic of China under Grant 2018MS01026 and the Natural Science Foundation of Chifeng of Inner Mongolia of the People’s Republic of China.


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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  • Huo Tang
    • 1
    Email author
  • H. M. Srivastava
    • 2
    • 3
  • Shu-Hai Li
    • 1
  • Guan-Tie Deng
    • 4
  1. 1.School of Mathematics and StatisticsChifeng UniversityChifengPeople’s Republic of China
  2. 2.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  3. 3.Department of Medical Research, China Medical University HospitalChina Medical UniversityTaichungRepublic of China
  4. 4.School of Mathematical SciencesBeijing Normal UniversityBeijingPeople’s Republic of China

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