Article
Fekete-Szego Inequalities for Sakaguchi Type Bi-univalent Functions Defined by Gegenbauer Polynomials
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Abstract
We introduce and investigate in this paper new subclasses of bi-univalent functions associated with the Gegenbauer polynomials in the open unit disc which satisfy subordination conditions defined in a symmetric domain. For these new subclasses, we obtain estimates for the Taylor-Maclaurin coefficients a2 and a3 and the Fekete-Szego inequality a3 - μa2².
Keywords
Gegenbauer polynomial, subordination, bi-univalent functions, analytic functions, Fekete-Szego problem.
Citation
Caglar, M., Buyankara, M., & Karaman, A. (2024). Fekete-szego inequalities for sakaguchi type bi-univalent functions defined by gegenbauer polynomials. Turkish Journal of Science, 9(2), 126–136. https://doi.org/10.66833/TJOS-2024-0011
M. Caglar, M. Buyankara and A. Karaman, “Fekete-szego inequalities for sakaguchi type bi-univalent functions defined by gegenbauer polynomials,” Turkish Journal of Science, vol. 9, no. 2, pp. 126–136, 2024, doi: 10.66833/TJOS-2024-0011.
Caglar M, Buyankara M, Karaman A. Fekete-szego inequalities for sakaguchi type bi-univalent functions defined by gegenbauer polynomials. Turkish Journal of Science. 2024;9(2):126–136. doi:10.66833/TJOS-2024-0011.
Caglar, M., Buyankara, M. and Karaman, A. (2024), ‘Fekete-szego inequalities for sakaguchi type bi-univalent functions defined by gegenbauer polynomials’, Turkish Journal of Science, 9(2), pp. 126–136. Available at: https://doi.org/10.66833/TJOS-2024-0011.
Caglar, Murat, et al. “Fekete-szego Inequalities for Sakaguchi Type Bi-univalent Functions Defined by Gegenbauer Polynomials.” Turkish Journal of Science, vol. 9, no. 2, 2024, pp. 126–136. https://doi.org/10.66833/TJOS-2024-0011.
Caglar, Murat, Mucahit Buyankara, and Aysegul Karaman. “Fekete-szego Inequalities for Sakaguchi Type Bi-univalent Functions Defined by Gegenbauer Polynomials.” Turkish Journal of Science 9, no. 2 (2024): 126–136. https://doi.org/10.66833/TJOS-2024-0011.
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