The Region of Values of the System {f(z .sub.1),..., f(z .sub.n)} in the Class of Typically Real Functions

Byline: E. G. Goluzina (1) Abstract: The paper studies the region of values of the system {f(z.sub.1), f(z.sub.2),... , f(z.sub.n)} in the class T of functions f(z) = z + [a.sub.2]z.sup.2 + a- regular in the unit disk and satisfying the condition Im f(z) Im z &gt 0 for Im z a 0. Bibliography: 8 titles. Author Affiliation: (1) St.Petersburg Department, Steklov Mathematical Institute, St.Petersburg, Russia Article History: Registration Date: 01/02/2006 Received Date: 25/06/2004 Article note: Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 314, 2004, pp. 41--51.