English

Hankel determinant for a general subclass of m-fold symmetric bi-univalent functions defined by Ruscheweyh operator

Complex Variables 2023-09-01 v2

Abstract

Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized bi-univalent 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).

Keywords

Cite

@article{arxiv.2304.11695,
  title  = {Hankel determinant for a general subclass of m-fold symmetric bi-univalent functions defined by Ruscheweyh operator},
  author = {Pishtiwan Othman Sabir and Ravi P. Agarwal and Shabaz Jalil MohammedFaeq and Pshtiwan Othman Mohammed and Nejmeddine Chorfi and Thabet Abdeljawad},
  journal= {arXiv preprint arXiv:2304.11695},
  year   = {2023}
}

Comments

16 pages, 7 figures