Second Hankel Determinant for a Certain Subclass of Bi-univalent Functions

  • Nizami Mustafa
  • Gangadharan Mrugusundaramoorthy
  • Thambidurai Janani
Article
  • 19 Downloads

Abstract

In this paper, we introduce a subclass of analytic and bi-univalent functions in the open unit disk. Here, we give upper bound estimates for the second Hankel determinant of the functions that belong to this class. Some interesting applications and conclusions of the results obtained in this paper are also discussed.

Keywords

Univalent function analytic function bi-univalent function Hankel determinant 

Mathematics Subject Classification

Primary 30C45 30C50 Secondary 30C55 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Nizami Mustafa
    • 1
  • Gangadharan Mrugusundaramoorthy
    • 2
  • Thambidurai Janani
    • 2
  1. 1.Department of Mathematics, Faculty of Science and LettersKafkas UniversityKarsTurkey
  2. 2.School of Advanced SciencesVIT UniversityVelloreIndia

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