New Subfamily of Bi-starlike and Bi-convex Functions Defined by the q-Janowski Function

Abstract

In this study, we introduce a new class of bi-univalent functions using q-Janowski Function. 
 We derive the Fekete-Szegö functional problems for functions in this new subclass, as well as estimates 
 for the Taylor-Maclaurin coefficients |α2| and |α3|. Furthermore, a collection of fresh outcomes are3
 presented by customizing the parameters employed in our initial discoveries.

A Class of Bi-Univalent Functions in a Leaf-Like Domain Defined through Subordination via q̧-Calculus

“…We conclude that they also satisfy both equations in Definition 5. Now, we can conclude that the extremal function given in (12) shows that our defined class of analytic and bi-univalent function is not empty.…”