On the five-point theorems due to Lappan
Yan Xu
Annales Polonici Mathematici, Tome 101 (2011), p. 227-235 / Harvested from The Polish Digital Mathematics Library
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By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280463 
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Yan Xu. On the five-point theorems due to Lappan. Annales Polonici Mathematici, Tome 101 (2011) pp. 227-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-3-3/