Coefficient bounds for certain subclasses of bi-univalent functions
By Andy Liew Pik Hern, A. Janteng. 2016
54 citations recorded by the source corpus.
Let Σ denotes the class of bi-univalent functions inD = {z ∈ C : |z| < 1}. In this paper, we consider two subclasses of Σ defined in the open unit disk D which are denoted by GΣ(α, β) and GΣ∗(α, β). Besides, we find upper bounds for the second and third coefficients for functions in these subclasses. Mathematics Subject Classification: 30C45
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a6bcab76a28f9b4b3d8e402790d8bf61678ad99d
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In Geometry and Topology
- Hari M. Srivastava
- Ş. Altınkaya
- S. Yalçın
- Feras Yousef
- Basem Aref Frasin
- Tariq Al-Hawary
- Serap Bulut
- Nanjundan Magesh
Citations in the corpus
- Coefficient Estimates for Two New Subclasses of Biunivalent Functions with respect to Symmetric Points (2015, background): “Bounds for the initial coefficients of several classes of functions were also investigated in [6–15].”
- Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator (2018, background): “[46], many authors investigated the coefficient bounds for various subclasses of bi-univalent functions (see, for example, [4], [15], [24], [40], [41], [42], [43], [44], [49] and [50]).”
- Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials (2018, background): “[21] and Frasin and Aouf [11], see also [2, 3, 4, 12, 15, 18].”