AN APPLICATION OF SCHUR'S ALGORITHM TO VARIABILITY REGIONS OF CERTAIN ANALYTIC FUNCTIONS II

Abstract

We extend our study of variability regions, Ali et al. ['An application of Schur algorithm to variability regions of certain analytic functions-I', Comput. Methods Funct. Theory, to appear] from convex domains to starlike domains. Let be the class of analytic functions f in with satisfying. As an application of the main result, we determine the variability region of when f ranges over. By choosing a particular, we obtain the precise variability regions of for some well-known subclasses of analytic and univalent functions. �