On the Fekete-Szegö problem for classes of bi-univalent functions

By Pawel Zaprawa. 2014

150 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d8863fec852c32fad01375f41df08f0122106e89

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator (2018, background): “The Fekete-Szegö functional has ∣∣∣a3 − μa22∣∣∣ since received great attention, particularly in connection with many subclasses of the class S of normalized analytic and univalent functions (see, for example, [3], [25], [31], [45], [48] and [51]).”
Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions (2021, unknown): “(see [57]) Let a function f belong to the class given by lim q→1− Hq(1, p̂) =: ST σ(φ) and ν ∈ C.”
Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers (2018, unknown): “Due to Zaprawa [15], in the following theorem we determine the Fekete-Szegö functional for f ∈ SLMα,Σ(p̃(z)).”
Second Hankel determinant for certain subclasses ofbi-univalent functions (2017, background): “On the other hand, quite recently, Zaprawa (see [34, 35]) studied the Fekete–Szegö problem for some classes of bi-univalent functions.”
Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator (2020, methodology): “Also, by taking μ = γ = λ = 1 and φ(z) = 1 + (1− 2β)z 1− z (0 5 β < 1) in Theorem 2, we obtain an improvement of the estimates which were given by Zaprawa [48] (Corollary 4).”
Bounds for the second Hankel determinant of certain bi-univalent functions (2015, methodology): “On the other hand, Zaprawa [28, 29] extended the study on Fekete-Szegö problem for certain subclasses of bi-univalent function class σ.”