Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions

By Hari M. Srivastava, S. Eker, Rosihan M. Ali. 2015

118 citations recorded by the source corpus.

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$ . By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. Some interesting recent developments involving other subclasses of analytic and bi-univalent functions are also briefly mentioned.

Subfields: Applied Mathematics, Geometry and Topology, Inorganic Chemistry

View Paper: https://www.semanticscholar.org/paper/281f394984f8595f90f3ecef68d619490c8441ae

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In Applied Mathematics

In Geometry and Topology

In Inorganic Chemistry

Citations in the corpus

Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions (2016, background): “[12], and Jahangiri and Hamidi [7](see also [1, 4, 6, 10], and the references cited in each of them).”
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]).”