Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions

By Serap Bulut. 2014

75 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a7350238f40842f62284b75d79af03bcf0a21e5e

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Faber polynomial coefficient bounds for a subclass of bi-univalent functions (2015, background): “The above estimates for |a2| and |a3| show that Corollary 2.3 is an improvement of the estimates given in Prema and Keerthi ([23], Theorem 3.2) and Bulut ([9], Corollary 3).”
Second Hankel determinant for certain subclasses ofbi-univalent functions (2017, background): “In particular, several results on coefficient estimates for the initial coefficients |a2| , |a3| , and |a4| were proved for various subclasses of σ (see, for example, [1, 4, 5, 10, 12, 14, 16, 25, 28, 29, 32, 33]).”
Coefficient Estimates for Two New Subclasses of Biunivalent Functions with respect to Symmetric Points (2015, background): “In the literature, there are only a few works determining the general coefficient bounds |a n | for the analytic biunivalent functions ([16–20]).”
Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials (2018, background): “However, not much is known about the bounds on the general coefficient an j j for n= 4: In the literature, there are only a few works determining the general coefficient bounds for an j j for various classes of analytic and bi-univalent functions (see, e.g., Altınkaya and Yalçın 2015, 2017b; Bulut 2”
Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator (2018, background): “In the literature, there are only a few works determining the general coefficient bounds for |an| for the analytic bi-univalent functions (see, for example, [2], [5], [11], [18], [19], [22] and [47]).”