On certain subclasses of multivalently meromorphic close-to-convex maps
K. S. Padmanabhan
Annales Polonici Mathematici, Tome 69 (1998), p. 251-263 / Harvested from The Polish Digital Mathematics Library
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Let Mₚ denote the class of functions f of the form f(z)=1/zp+∑k=0∞aₖzk, p a positive integer, in the unit disk E = |z| < 1, f being regular in 0 < |z| < 1. Let Ln,p(α)=f:f∈Mₚ,Re-(zp+1/p)(Dⁿf)'>α, α < 1, where Dⁿf=(zn+pf(z))(n)/(zpn!). Results on Ln,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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:270452 
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K. S. Padmanabhan. On certain subclasses of multivalently meromorphic close-to-convex maps. Annales Polonici Mathematici, Tome 69 (1998) pp. 251-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p251bwm/

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