Some Classes of Univalent Function with Negative Coefficients

Abstract

The \U0001d6f6 subclasses S*(τ, λ) and C*(τ, λ), as well as the class of analytic and univalent functions of the form , were studied. Sharp coefficients, distortion, as well as a function expression formula in S*(τ, λ) are determined, as well as expression formulae for functions in C*(τ, λ). In addition, convex linear combination over arithmetic average, the classes S*(τ, λ) and C*(τ, λ) are proved to be closed.