Author:
FANG MINGLIANG,ZALCMAN LAWRENCE
Abstract
AbstractLet ℱ be a family of meromorphic functions defined in D, all of whose zeros have multiplicity at least k+1. Let a and b be distinct finite complex numbers, and let k be a positive integer. If, for each pair of functions f and g in ℱ, f(k) and g(k) share the set S={a,b}, then ℱ is normal in D. The condition that the zeros of functions in ℱ have multiplicity at least k+1 cannot be weakened.
Publisher
Cambridge University Press (CUP)
Reference19 articles.
1. Normality and exceptional values of derivatives
2. Proof of a Conjecture of Hayman Concerning f
and f
″
3. Normal families and shared values of meromorphic functions
4. The shared value criterion for normality;Sun;J. Wuhan Univ. Natur. Sci.,1994
5. Mémoire sur les fonctions uniformes à point singulier essentiel isolé;Bureau;Mém. Soc. Roy. Sci. Liège (3),1932
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