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.