no. 1
Mathematical analysis
Some simple conditions for univalence
[Quelques conditions simples pour l'univalence]

Présenté par : the Editorial Board

Nunokawa, Mamoru1 ; Sokół, Janusz2
1 University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808, Japan
2 Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 7-11.

Nous appliquons le lemme de Ozaki et Umezawa sur les fonctions convexes dans une direction, afin de trouver des conditions suffisantes pour l'univalence et la presque convexité.

We apply Ozaki–Umezawa's lemma on functions that are convex in one direction to find some sufficient conditions for univalence and closeness to convexity.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.10.001
Mots clés : Analytic, Univalent, Convex, Starlike, Close-to-convex, Differential subordination
Nunokawa, Mamoru 1 ; Sokół, Janusz 2

1 University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808, Japan
2 Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland 
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Nunokawa, Mamoru; Sokół, Janusz. Some simple conditions for univalence. Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 7-11. doi : 10.1016/j.crma.2015.10.001. http://www.numdam.org/articles/10.1016/j.crma.2015.10.001/

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