Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions of Complex Order Associated with the Hohlov Operator

2016/07/27 by Teodor Bulboacă, Bulboacă, T., G. Murugusundaramoorthy +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.1607.08285

openalex publication_date 2016/07/27 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients |a₂| and |a₃| for functions in these new subclasses. Several known or new consequences of these results are also pointed out.

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