Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

By S. Goyal, P. Goswami. 2012

71 citations recorded by the source corpus.

Abstract Estimates for second and third Maclaurin coefficients of certain bi-univalent functions in the open unit disk defined by convolution are determined. Certain special cases are also indicated.

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

View Paper: https://www.semanticscholar.org/paper/53a02a03a925955000d85ebf5049e4ae0a2fbe46

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In Applied Mathematics

In Geometry and Topology

In Polymers and Plastics

Citations in the corpus

Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions (2014, background): “Motivated by their work [13], many researchers (see, for example, [3, 5, 6, 11, 13, 14, 12, 15, 16, 17, 18]; see also the various closely-related papers on the subject, which are cited in some of these works) have recently investigated several interesting subclasses of the bi-univalent function clas”
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]).”
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.”
Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma–Minda type (2017, unknown): “[9, 10], Hayami and Owa [6], and others (see, for example, [5], [7] and [11]).”