The region of values of f(z0) in a class of typically real functions

Let T_R be the class of functions f(z) with f(0)=0 and f(0)=1 that are regular and typically real in the disk ¦z¦< 1. The region of values of the system ª(z₀),f(r),f(0)/2} (for fixed z₀ and r, 0r is determined. The region of values of f(z₀) on the class of functions from T_r with fixed f(r) and f(0) is found. Bibliography:Dedicated to the 90th anniversary of the birth of my father, G. M. GoluzinTranslated fromZapiski Nauchnykh Seminarov POMI, Vol. 237, 1997, pp. 46–55.