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On domains of univalence for the class of typically real odd functions

Koczan L., Zaprawa P.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2001

z. 25 [190]

81-89

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.