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

• Autorzy: Koczan L. , Zaprawa P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

domains; domain of univalence; typically real functions; real odd functions

PL

domeny; domeny jednolistne; funkcje nieparzyste; nieparzyste funkcje rzeczywiste

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2001
• Tom: z. 25 [190]
• Strony: 81--89
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Koczan L.

• Department of Mathematics, Technical University of Lublin

autor

Zaprawa P.

• Department of Mathematics, Technical University of Lublin

Bibliografia

• [1] G. Goluzin, On typically realfunctions, Mat. Sb. N. S. 27(69) (1950) 201-218.
• [2] L. Koczan, P. Zaprawa, On typically real functions with n-fald symmetry, Ann. UMCS (1998) vol. LII.2, 103-112.