Geodesic
On certain subclasses of multivalently meromorphic close-to-convex maps
Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 251-263 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let Mₚ denote the class of functions f of the form $f(z) = 1/z^p + ∑_{k=0}^∞ aₖz^k$, p a positive integer, in the unit disk E = {|z| 1}, f being regular in 0 |z| 1. Let $L_{n,p}(α) = {f: f ∈ Mₚ, Re{-(z^{p+1}/p) (Dⁿf)'} > α}$, α 1, where $Dⁿf = (z^{n+p} f(z))^{(n)}/(z^p n!)$. Results on $L_{n,p}(α)$ are derived by proving more general results on differential subordination. These results reduce, by putting p =1, to the recent results of Al-Amiri and Mocanu.
DOI : 10.4064/ap-69-3-251-263
Keywords: meromorphic multivalently close-to-convex, differential subordination, convolution

K. Padmanabhan 1

1 
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K. Padmanabhan. On certain subclasses of multivalently meromorphic close-to-convex maps. Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 251-263. doi: 10.4064/ap-69-3-251-263

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