On a new subclass of bi-univalent functions

By Saurabh Porwal, Maslina Darus. 2013

89 citations recorded by the source corpus.

Abstract The purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients ∣a2∣ and ∣a3∣ for functions of this class. Relevant connections of the results presented here with various well-known results are briefly indicated.

Subfields: Applied Mathematics, Geometry and Topology, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/4950d8eed4aef322fea220dfac07a3ab64e35465

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In Applied Mathematics

In Geometry and Topology

In Polymers and Plastics

Citations in the corpus

Faber polynomial coefficient bounds for a subclass of bi-univalent functions (2015, background): “Recently, many authors investigated bounds for various subclasses of bi-univalent functions ([5], [10], [13], [18], [19], [21], [24], [27], [28], [29]).”
Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions (2014, unknown): “[30,31], Hayami and Owa [18], and others (see, for example, [2,6–9,14,22,24,26]).”
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].”
Coefficient estimates for a subclass of analytic and bi-univalent functions (2015, result): “In fact, judging by the remarkable flood of papers on non-sharp estimates on the first two coefficients ja2j and ja3j of various subclasses of the bi-univalent function class R (see, for example, [19–30,35,31–34,15,36–38]), the above-cited recent pioneering work of Srivastava et al.”