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

Pishtiwan Othman Sabir; Ravi P. Agarwal; Shabaz Jalil MohammedFaeq; Pshtiwan Othman Mohammed; Nejmeddine Chorfi; Thabet Abdeljawad

arXiv · 2304.11695

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

Pishtiwan Othman Sabir·Ravi P. Agarwal·Shabaz Jalil MohammedFaeq·Pshtiwan Othman Mohammed·Nejmeddine Chorfi·Thabet Abdeljawad

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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).

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Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil MohammedFaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad. 2023-04-23. Hankel determinant for a general subclass of m-fold symmetric bi-univalent functions defined by Ruscheweyh operator. https://arxiv.org/abs/2304.11695

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