Coefficients for alpha-convex univalent functions

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 ...

Convex and Starlike Univalent Functions

Bounds for the Coefficients of Univalent Functions

assumed regular and Univalent in \z\ <1, in terms of the domain onto which \z\ <1 is mapped through (1). A typical result, cf. (27), is that if this domain does not cover arbitrarily large circles, then1 a„ = 0(log n). Let W be the domain in the w-plane onto which \z\ <1 is mapped through (1) and denote by .4(72) the radius of the largest circle with center on |w| = 72 the whole interior of whi...

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.

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...