Initial Coefficient Bounds for Bi-Close-to-Convex and Bi-Quasi-Convex Functions with Bounded Boundary Rotation Associated with q -Sălăgean Operator

Prathviraj Sharma, Srikandan Sivasubramanian (), Adriana Catas () and Sheza M. El-Deeb
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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

Mathematics, 2025, vol. 13, issue 14, 1-16

Abstract: 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 | a 2 | and | a 3 | . Additionally, we have derived the well-known Fekete–Szegö inequality for this newly defined subclasses.

Keywords: analytic; bi-univalent functions; convolution; q-Sălăgean operator; fractional derivatives; bounded boundary rotation; coefficient estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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