Let A be the set of all functions that are analytic in the disk delta = [z is an element of C : \z\ < 1} and normalized by f(O) = f'(O) - 1 = 0. Abu-Muhanna and MacGregor discussed in the paper [1] different classes of functions which preserved some sectors. For k > 2 they used notation: [...].
The univalence problems for the class T consisting of typically real functions are connected with the name of Goluzin. It was Goluzin, who derived the radius of local univalence in the class T and described the univalence domain H in T [1]. This domain H and the domain of local univalence are equal. Moreover, H is (in some sense) the largest set in which all typically real functions are univalent, but for these functions the domain of local univalence is larger than H. This observation suggests the possibility of existence of other domains of univalence.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.