Results in Mathematics

, Volume 35, Issue 3–4, pp 284–309 | Cite as

On differential polynomials, fixpoints and critical values of meromorphic functions

  • J.K. Langley


We prove some results concerning functions ƒ meromorphic of finite lower order in the plane, such that ƒƒ″−α(ƒ′)2 has few zeros, where α is a constant, using in part new estimates for the multipliers at fixpoints of certain functions. We go on to consider zeros of derivatives and the minimal lower growth of meromorphic functions with finitely many critical values.

A.M.S. Classification


Key Words

Nevanlinna theory differential polynomials 


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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • J.K. Langley
    • 1
  1. 1.Department of MathematicsUniversity of Nottingham

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