Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q -calculus Operators

Abstract

In this paper, we introduce and investigate two new subclasses of the function class ∑ of bi-univalent functions defined in the open unit disk, which are associated with fractional q-calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a₂| and |a₃| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.