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We introduce two new subclasses of the function class Σ of biunivalent functions in the open disc defined by convolution. Estimates on the coefficients a2 and a3 for the two subclasses are obtained. Moreover, we verify Brannan and Clunie’s conjecture a2≤2 for our subclasses

Coefficient Estimates for Certain Subclasses of Biunivalent Functions Defined by Convolution