Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Gangadharan Murugusundaramoorthy, Serap Bulut

Abstract


In this paper, we define a new subclass of bi-univalent functions involving q-difference 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


Univalent function; Bi-Starlike function; Bi-Convex function; Hadamard product; q-derivative operator

Mathematics Subject Classification (2010)


30C45

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