Normality criteria for families of zero-free meromorphic functions
Jun-Fan Chen
Annales Polonici Mathematici, Tome 113 (2015), p. 89-98 / Harvested from The Polish Digital Mathematics Library
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Let ℱ be a family of zero-free meromorphic functions in a domain D, let n, k and m be positive integers with n ≥ m+1, and let a ≠ 0 and b be finite complex numbers. If for each f ∈ ℱ, fm+a(f(k))ⁿ-b has at most nk zeros in D, ignoring multiplicities, then ℱ is normal in D. The examples show that the result is sharp.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:280834 
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Jun-Fan Chen. Normality criteria for families of zero-free meromorphic functions. Annales Polonici Mathematici, Tome 113 (2015) pp. 89-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-7/