The support points of several classes of analytic functions with fixed coefficients

Let B denote the set of functions φ(z) that are analytic in the unit disk D and satisfy |φ(z)| 1 (|z| < 1). Let P denote the set of functions p(z) that are analytic in D and satisfy p(0) = 1 and Rep(z) > 0 (|z| < 1). Let T denote the set of functions f (z) that are analytic in D, normalized by f (0) = 0 and f (0) = 1 and satisfy that f (z) is real if and only if z is real (|z| < 1). In this article we investigate the support points of the subclasses of B, P and T of functions with fixed coefficients. © 2007 Elsevier Inc. All rights reserved