Coefficient estimate of bi-Bazileviuc function of complex order based on quasi subordination involving Srivastava-Attiya operator

2016/01/11 by G. Murugusundaramoorthy, Murugusundaramoorthy, G
Materials Science · Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Polymer Synthesis and Characterization

paper · pdf · doi:10.48550/arxiv.1601.02294

openalex publication_date 2016/01/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce and investigate a new subclass of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Hurwitz-Lerch zeta function, satisfying quasi-subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a₂| and |a₃| for functions in this new subclass. Several (known or new) consequences of the results are also pointed out.

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