Monatshefte für Mathematik

, Volume 165, Issue 3–4, pp 569–578 | Cite as

Normal families of meromorphic functions and shared values

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Abstract

Let k be a positive integer, b ≠ 0 be a finite complex number, let P be a polynomial with either deg P ≥ 3 or deg P = 2 and P having only one distinct zero, and let \({\mathcal{F}}\) be a family of functions meromorphic in a domain D, all of whose zeros have multiplicities at least k. If, each pair of functions f and g in \({\mathcal{F}, P(f)f^{(k)}}\) and P(g)g (k) share b in D, then \({\mathcal{F}}\) is normal in D.

Keywords

Meromorphic function Normal family Shared value 

Mathematics Subject Classification (2000)

30D35 30D45 
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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of MathematicsNanjing Normal UniversityNanjingPeople’s Republic of China

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