Affiliation:
1. KARAMANOĞLU MEHMETBEY ÜNİVERSİTESİ, KAMİL ÖZDAĞ FEN FAKÜLTESİ
2. KARAMANOĞLU MEHMETBEY ÜNİVERSİTESİ
Abstract
In this paper, two new subclasses of holomorphic and bi-univalent functions are introduced by using Balancing polynomials. Then, coefficient estmations are determined for the first two coefficients of functions belonging to these new classses. Finally, the Fekete-Szeg¨o problem is handled for the functions in subclasses defined.
Publisher
Karamanoglu Mehmetbey University
Reference30 articles.
1. Behera A., Panda GK., On the square roots of triangular numbers, Fibonacci Quart., 37, 98–105, (1999).
2. Brannan D., Clunie J., Aspects of contemporary complex analysis, Academic Press, New York, (1980).
3. Brannan D., Taha TS., On some classes of bi-univalent functions, In: Proceedings of the International Conference
on Mathematical Analysis and its Applications, Math. Anal. Appl., 53–60, (1988).
4. Buyankara M., C¸ a˘glar M., Cotˆırl˘a LI., New Subclasses of Bi-Univalent Functions with Respect to the Symmetric
Points Defined by Bernoulli Polynomials, Axioms, 11(11), Art. 652, (2022).
5. Çağlar M., Cotˆırl˘a LI., Buyankara M., Fekete–Szeg¨o Inequalities for a New Subclass of Bi-Univalent Functions
Associated with Gegenbauer Polynomials, Symmetry, 14(8), Art. 1572, (2022).
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