Geodesic
On starlikeness of certain integral transforms
Annales Polonici Mathematici, Tome 56 (1991) no. 3, pp. 227-232.

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

Let A denote the class of normalized analytic functions in the unit disc U = {z: |z| 1}. The author obtains fixed values of δ and ϱ (δ ≈ 0.308390864..., ϱ ≈ 0.0903572...) such that the integral transforms F and G defined by $F(z) = ∫_0^z (f(t)/t)dt$ and $G(z) = (2/z) ∫_0^z g(t)dt$ are starlike (univalent) in U, whenever f ∈ A and g ∈ A satisfy Ref'(z) > -δ and Re g'(z) > -ϱ respectively in U.
DOI : 10.4064/ap-56-3-227-232
Keywords: subordination, convex function, starlike function, univalent function

S. Ponnusamy 1

1 
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S. Ponnusamy. On starlikeness of certain integral transforms. Annales Polonici Mathematici, Tome 56 (1991) no. 3, pp. 227-232. doi : 10.4064/ap-56-3-227-232. http://geodesic.mathdoc.fr/articles/10.4064/ap-56-3-227-232/

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