Sub classes of Bi-Univalent Functions Defined by Salagean type q- Difference Operator

2017/09/30 by G. Murugusundaramoorthy, Murugusundaramoorthy, G., K. Vijaya +1
Mathematics · #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1710.00143

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 Sălăgean type q- difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a₂| and |a₃| for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. Further we obtain Fekete-Szego inequality for the new function class.

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