On Janowski Analytic p,q-Starlike Functions in Symmetric Circular Domain

On Janowski Starlike Functions

Integral Means of Analytic Mappings by Iteration of Janowski Functions

In this short note we apply certain iteration of the Janowski functions to estimate the integral means of some analytic and univalent mappings of |z| < 1. Our method of proof follows an earlier one due to Leung [4].

The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings

Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form f z zh z g z defined on the open unit disc U. The functions are in the class of the generalized Janowski starlike log-harmonic mapping, Slh A,B, α , with the functional zh z in the class of the generalized Janowski starlike functions, S∗ A,B, α . By means ...

The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions

For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |a p2 − μa 2 p1 | related to the Fekete-Szegö problem are given.

On Uniformly Starlike Functions

These are normalized functions regular and univalent in E: IzI < 1, for which f( E) is starlike with respect to the origin. Let y be a circle contained in E and let [ be the center of y. The Pinchuk question is this: Iff(z) is in ST, is it true thatf(y) is a closed curve that is starlike with respect tof(i)? In Section 5 we will see that the answer is no. There seems to be no reason to demand t...