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Comptes Rendus Mathématique
Volume 354, n° 1
pages 7-11 (janvier 2016)
Doi : 10.1016/j.crma.2015.10.001
Received : 8 July 2015 ;  accepted : 5 October 2015
Some simple conditions for univalence
Quelques conditions simples pour l'univalence
 

Mamoru Nunokawa a , Janusz Sokół b
a University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808, Japan 
b Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.

Keywords : Analytic, Univalent, Convex, Starlike, Close-to-convex, Differential subordination




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