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

Abstract

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).

Keywords

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