Normality criteria and multiple values II
Yan Xu ; Jianming Chang
Annales Polonici Mathematici, Tome 101 (2011), p. 91-99 / Harvested from The Polish Digital Mathematics Library
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Let ℱ be a family of meromorphic functions defined in a domain D, let ψ (≢ 0, ∞) be a meromorphic function in D, and k be a positive integer. If, for every f ∈ ℱ and z ∈ D, (1) f≠ 0, f(k)≠0; (2) all zeros of f(k)-ψ have multiplicities at least (k+2)/k; (3) all poles of ψ have multiplicities at most k, then ℱ is normal in D.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280242 
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Yan Xu; Jianming Chang. Normality criteria and multiple values II. Annales Polonici Mathematici, Tome 101 (2011) pp. 91-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-1-9/