Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Gangadharan Murugusundaramoorthy, Teodor Bulboaca

Abstract


In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and | a3|.

Keywords


analytic functions; univalent functions; bi-univalent functions; bi-starlike and bi-convex functions; Hohlov operator; Gaussian hypergeometric function; Dziok-Srivastava operator

Mathematics Subject Classification (2010)


30C45

References


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