Initial Coefficient Bounds for Bi-Close-to-Convex and Bi-Quasi-Convex Functions with Bounded Boundary Rotation Associated with <i>q</i>-Sălăgean Operator
Prathviraj Sharma,
Srikandan Sivasubramanian,
Adriana Catas,
Sheza M. El-Deeb
Affiliations
Prathviraj Sharma
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Srikandan Sivasubramanian
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Adriana Catas
Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania
Sheza M. El-Deeb
Department of Mathematics, College of Science, Qassim University, Buraidah 51452, Saudi Arabia
In this article, through the application of the q-Sălăgean operator associated with functions characterized by bounded boundary rotation, we propose a few new subclasses of bi-univalent functions that utilize the q-Sălăgean operator with bounded boundary rotation in the open unit disk E. For these classes, we establish the initial bounds for the coefficients |a2| and |a3|. Additionally, we have derived the well-known Fekete–Szegö inequality for this newly defined subclasses.
