ON THE MUTUAL CHANGE OF VALUES OF A FUNCTION AND ITS COEFFICIENTS IN THE CLASS OF TYPICALLY REAL FUNCTIONS

摘要

The paper continues investigations of the well-known class T of typically real functions f(z) in the disk U = {z : ∣z∣ < 1}. The region of values of the system {c_2,C_3,f(z_1),f(z_2)} in the class T is studied. The region of values of f(z_2) in the class of functions f ∈ T with fixed values C_2, C_3, and f(z_1) is determined.