A note on normality and shared values

Mingliang Fang, Lawrence Zalcman

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29 Scopus citations


Let k be a positive integer and b a nonzero constant. Suppose that ℱ is a family of meromorphic functions in a domain D. If each function f ∈ ℱ has only zeros of multiplicity at least k + 2 and for any two functions f, g ∈ ℱ and g share 0 in D and f(k) and g(k) share b in D, then ℱ is normal in D. The case f ≠ 0, f(k) ≠ b is a celebrated result of Gu.

Original languageEnglish
Pages (from-to)141-150
Number of pages10
JournalJournal of the Australian Mathematical Society
Issue number1
StatePublished - Feb 2004

Bibliographical note

Funding Information:
The first author was supported by the NNSF of China (Grant No. 10071038) and by the Fred and Barbara Kort Sino-Israel Post Doctoral Fellowship Program at Bar-Ilan University. The second author was supported by the German-Israeli Foundation for Scientific Research and Development, G.I.F. Grant No. G-643-117.6/1999. © 2004 Australian Mathematical Society 1446-7887/04 $A2.00 + 0.00


  • Meromorphic function
  • Normality
  • Shared value


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