Meromorphic functions that share a set with their derivatives

Jianming Chang, Lawrence Zalcman

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


There exists a set S with three elements such that if a meromorphic function f, having at most finitely many simple poles, shares the set S CM with its derivative f, then f ≡ f.

Original languageEnglish
Pages (from-to)1020-1028
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - 15 Feb 2008

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses:, (J. Chang), (L. Zalcman). 1 Research supported by the NNSF of China (Grants Nos. 10471065 and 10671093) and by the Fred and Barbara Kort Sino-Israel Post Doctoral Fellowship Program at Bar-Ilan University. 2 Research supported by the German–Israeli Foundation for Scientific Research and Development, Grant G-809-234.6/2003.


  • Meromorphic functions
  • Shared values


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