CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY LINEAR MULTIPLIER FRACTIONAL q-DIFFERENTIAL OPERATOR

This paper introduces a novel subclass of analytic and bi-univalent functions that are linked to a linear multiplier fractional q-differential operator, defined in the open unit disk D. The authors establish the upper bounds for the coefficients |a2| and |a3| for the functions that belong to this new subclass and its subclasses.