On Coefficient Bounds of Bi-Univalent Functions Subordinated via Chebyshev Polynomials and Symmetric q-Derivatives
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32994Keywords:
Bi-Univalent Functions, Symmetric q-Derivatives, Chebyshev PolynomialsAbstract
This study presents and examines a novel subclass of bi-univalent functions linked to the symmetric -derivative operator. For functions in this class, we calculate estimates for the initial Taylor–Maclaurin coefficients as well as , and establish the associated Fekete–Szegö inequality. Additionally, various specific instances and implications of the principal findings are examined.
Downloads
References
Aldweby, H., & Darus, M. (2013). A Subclass of Harmonic Univalent Functions Associated with q‐Analogue of Dziok‐Srivastava Operator. International Scholarly Research Notices, 2013(1), 382312.
Altinkaya, S., & Yalcin, S. (2017). Estimates on coefficients of a general subclass of bi-univalent functions associated with symmetric q-derivative operator by means of the Chebyshev polynomials. Asia Pacific Journal of Mathematics, 4(2), 90-99.
Altinkaya, Ş., & Yalçın, S. (2016). On the Chebyshev polynomial bounds for classes of univalent functions. Khayyam Journal of Mathematics, 2(1), 1-5.
Altınkaya, Ş., & Yalçın, S. (2015a). Coefficient estimates for two new subclasses of biunivalent functions with respect to symmetric points. Journal of Function Spaces, 2015(1), 145242.
Altınkaya, Ş., & Yalçın, S. (2015b). Faber polynomial coefficient bounds for a subclass of bi-univalent functions. Comptes Rendus. Mathématique, 353(12), 1075-1080.
Aydogan, M., Kahramaner, Y., & Polatoglu, Y. (2013). Close-to-convex functions defined by fractional operator. Appl. Math. Sci, 7(56), 2769-2775.
Brannan, D. A., & Clunie, J. (1980). Aspects of contemporary complex analysis. (No Title).
Brannan, D. A., & Taha, T. (1988). On some classes of bi-univalent functions. In Mathematical Analysis and Its Applications (pp. 53-60). Elsevier.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Suad Y. Al-Mayyahi, Rafid Habib Buti
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
