Initial Coefficient Bounds for Some Novel Subclasses of Analytic and Bi-univalent Functions Defined by q-Differential Operator

Abstract

In this study, we use the q-differential operator to establish two novel subclasses of analytic and bi-univalent functions defined in the open unit disk 𝐷 = {𝑧: 𝑧 ∈ ℂ, |𝑧| < 1}. Some known subclasses of analytic and bi-univalent functions, as well as their results are generalized by these novel subclasses and their results.