Malaysian Journal of Mathematical Sciences, December 2024, Vol. 18, No. 4
Certain Subclasses of Bi-Univalent Functions Defined by $(p,q)-$Differential Operator
Rmsen, A. A. A., Shivarudrappa, H. L., and Ravikumar, N.
Corresponding Email: [email protected]
Received date: 19 September 2023
Accepted date: 30 October 2023
Abstract:
The attention of the current paper, is to discover a new subclass $\mathcal{M}_{p,q}(\zeta,\Psi)$ and $\mathcal{F}_{p,q}\big(\delta,\Psi\big)$ of bi-univalent functions in the open disc $\mathfrak{U}$, using $(p,q)-$differential operator. Furthermore, we perceive estimates on coefficients $|x_{2}|$ and $|x_{3}|$ for functions in the new subclass.
Keywords: analytic function; univalent function; bi-univalent function; starlike function; convex function; $(p,q)-$derivative operator
