Coefficient bounds for certain subclasses of bi-univalent functions

By Nanjundan Magesh, J. Yamini. 2013

88 citations recorded by the source corpus.

In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions. Also, we find estimates of |a2| and |a3|. Some related consequences of the results are also pointed out. Mathematics Subject Classification: 30C45

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f1adc39794fd20c5cb212e74bd244ea7e62e968f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

Citations in the corpus

Initial coefficient bounds for a general class of bi-univalent functions (2013, result): “Various subclasses of the bi-univalent function class Σ were introduced and non-sharp estimates on the first two coefficients |a2| and |a3| in the Taylor-Maclaurin series expansion (1) were found in several recent investigations (see, for example, [1–4, 6–8, 12, 14, 16, 19–21, 23, 27, 29]).”
Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions (2015, background): “In fact, judging by the remarkable flood of papers on the subject (see, for example, [5–7, 9–12, 15–17, 19–21, 23, 26, 27, 29, 30]), the recent pioneering work of Srivastava et al.”