Abstract
In this work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.
Results & Lemmas (3)
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Theorem 2
Theorem 2 Let the function f (z) given by (1) be in the class HΣ (λ, t). Then |a2| ≤ 2t √ 2t r (1 + λ)2 −4 λ + λ2 t2
Theorem 2 Let the function f (z) given by (1) be in the class HΣ (λ, t) . Then |a2| ≤ 2t √ 2t r (1 + λ)2 −4 λ + λ2 t2
Theorem 3
Theorem 3 Let f given by (1) be in the class HΣ (λ, t) and µ ∈R. Then a3 −µa2 2 ≤
Theorem 3 Let f given by (1) be in the class HΣ (λ, t) and µ ∈R. Then a3 −µa2 2 ≤
Corollary 4
Corollary 4 If f ∈HΣ (λ, t), then a3 −a2 2 ≤ t 1 + 2λ. References [1] S¸. Altınkaya and S. Yal¸cın, Initial coefficient bounds for a general…
Corollary 4 If f ∈HΣ (λ, t) , then a3 −a2 2 ≤ t 1 + 2λ. References [1] S¸. Altınkaya and S. Yal¸cın, Initial coefficient bounds for a general class of bi-univalent functions, Int. J. Anal., Article ID 867871, (2014), 4 pp. [2] S¸. Altınkaya and S. Yal¸cın, Coefficient bounds for a subclass of bi-univalent functions, TWMS J. Pure Appl. Math., 6 no. 2 (2015), 180-185. 6
Function classes studied:
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