Univalent functions with negative coefficients

Sakaguchi - Type Harmonic Univalent Functions with Negative Coefficients

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

A subclass of harmonic univalent functions with negative coefficients

Abstract In this paper we introduce a new family Ā(α, β, γ) of harmonic univalent functions with negative coefficients using fractional calculus operator Ωλwhich contains various well known classes of harmonic univalent functions as well as many new ones. We obtain coefficient estimate, distortion theorem and various other properties for functions belonging to the class Ā(α, β, γ) in the unit d...

Coefficients of Univalent Functions

The interplay of geometry and analysis is perhaps the most fascinating aspect of complex function theory. The theory of univalent functions is concerned primarily with such relations between analytic structure and geometric behavior. A function is said to be univalent (or schlichi) if it never takes the same value twice: f(z{) # f(z2) if zx #= z2. The present survey will focus upon the class S ...

On Nonvanishing Univalent Functions with Real Coefficients*

S O u {1} is a compact subset of A. Duren and Schober had been interested in extreme points and support points of S o. Recall that a support point of a family F is a function which maximizes the real part of some continuous linear functional, that is not constant over F. We shall give a characterization of the extreme points and support points of the subfamily So(R ) of nonvanishing univalent f...