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

2023/04/23 by Sabir, Pishtiwan Othman, Agarwal, Ravi P., MohammedFaeq, Shabaz Jalil +3
#15A15 #26A51 #26B05 #30C45 #30C50 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.11695

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).

Related

• Upper bound for the second Hankel determinant of certain subclass of\n analytic and bi-univalent functions
• Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
• Hankel determinants of second and third order for the class \boldsymbolS of univalent functions
• Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials
• Two types of the second Hankel determinant for the class U and the general class S