Geodesic
Starlikeness of functions satisfying a differential inequality
Annales Polonici Mathematici, Tome 61 (1995) no. 2, pp. 135-140.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.
DOI : 10.4064/ap-61-2-135-140
Keywords: univalent, convex, starlike, close-to-convex functions, duality of Hadamard products

Rosihan Ali 1 ; S. Ponnusamy 1 ; Vikramaditya Singh 1

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Rosihan Ali; S. Ponnusamy; Vikramaditya Singh. Starlikeness of functions satisfying a differential inequality. Annales Polonici Mathematici, Tome 61 (1995) no. 2, pp. 135-140. doi : 10.4064/ap-61-2-135-140. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-2-135-140/

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