On coefficients estimate for subclasses of bi-univalent functions defined by Ruscheweyh derivative operator
bi-univalent
Ruscheweyh derivative
Coefficients bounds
Analytic function
Starlike function
Convex function
This paper presents two subclasses of analytic and bi-univalent functions associated with the Ruscheweyh derivative operator to investigate the bounds for and where and are the initial Tayler-Maclaurin coefficients. The current results would generalize and improve some corresponding recent works. Additionally, in certain cases, our estimates correct some of the existing coefficient bounds.