Differential polynomials and shared values

Jürgen Grahl, Shahar Nevo

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Let f and g be non-constant meromorphic functions in C, a and b non-zero complex numbers and let n and k be natural numbers satisfying n ≥ 5k + 17. We show that if the differential polynomials fn + af(k) and gn + ag(k) share the value b CM, then f and g are either equal or at least closely related.

Original languageEnglish
Pages (from-to)47-70
Number of pages24
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Issue number1
StatePublished - 2011


  • Differential polynomials
  • Shared values
  • Uniqueness of meromorphic functions


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