Estimates of Initial Coefficients for Bi-Univalent Functions

By Pawel Zaprawa. 2014

97 citations recorded by the source corpus.

We consider the Fekete-Szego inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions. The estimates of initial coefficients in these classes are obtained.

Subfields: Geometry and Topology, Materials Chemistry, Pharmacology

View Paper: https://www.semanticscholar.org/paper/89121ae873cea0e0b43e5d07f0973e3afebd56dc

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In Geometry and Topology

In Materials Chemistry

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Citations in the corpus

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.”
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].”
Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions (2017, background): “For a history and examples of functions which are (or which are not) in the class , together with various other properties of subclasses of bi-univalent functions one can refer [1,4,6,13,15,17,19,21].”
Second Hankel determinant for certain subclasses ofbi-univalent functions (2017, result): “[19] both extended and improved the results of Brannan and Taha [3] by generalizing their classes by means of the principle of subordination between analytic functions.”