Fekete-Szegö problem and Second Hankel Determinant for a class of bi-univalent functions

2015/08/29 by N. Magesh, Magesh, N., Jagadeesan Yamini +1
Materials Science · Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Polymer Synthesis and Characterization

paper · pdf · doi:10.48550/arxiv.1508.07462

openalex publication_date 2015/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this sequel to the recent work (see Azizi et al., 2015), we investigate a subclass of analytic and bi-univalent functions in the open unit disk. We obtain bounds for initial coefficients, the Fekete-Szegö inequality and the second Hankel determinant inequality for functions belonging to this subclass. We also discuss some new and known special cases, which can be deduced from our results.

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