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

Author

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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)

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.

Suggested Citation

  • Prathviraj Sharma & Srikandan Sivasubramanian & Adriana Catas & Sheza M. El-Deeb, 2025. "Initial Coefficient Bounds for Bi-Close-to-Convex and Bi-Quasi-Convex Functions with Bounded Boundary Rotation Associated with q -Sălăgean Operator," Mathematics, MDPI, vol. 13(14), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2252-:d:1699889
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