Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed*, Nejmeddine Chorfi, Thabet Abdeljawad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).

Original languageEnglish
Article number14
JournalJournal of Inequalities and Applications
Volume2024
Issue number1
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • Analytic and univalent functions
  • Hankel determinant
  • Ruscheweyh derivative
  • m-fold symmetric biunivalent functions
  • m-fold symmetric univalent functions

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