This paper presents a certain method to determine the range of varibility
of linear functionals defined in the Caratheodory Class i.e the class of
analytic functions in the unit disk ( z < 1 ) with a positive real part and
f(0)=1.
This paper presents a certain method to determine the range of variability of some functionals defined in Generalized Caratheodory Class ( i.e the class of analytic functions in the unit disk of the form:
where is a non decreasing function on the in
terval such that ). It has been proved that the range of variability of functional
where is a polynomial in , is the closed disc with and precisely determined . Also the range of variability of some other functional determined
