Subordination of polynomials (Q1178581)

In this paper the authors prove a general sufficient condition for polynomials to be subordinate to certain analytic functions. This generalizes the following known result: if \(P\) is a polynomial of degree \(\leqq n\), \(P(0)=1\) and \(0\not\in P(D)\), then \(P\prec Q_ n=:(1-z)^ n\) where \(D\) is the unit disk.