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Normality and shared values concerning differential polynomial
-
Chunlin L. Lei
,
Degui G. Yang
Published/Copyright:
May 2, 2011
Abstract
Let ℱ be a family of meromorphic functions in a domain D; let k ≥ 2 be a positive integer; and let a, b and c be complex numbers such that b ≠ 0 and a ≠ c. If, for each ƒ ∈ ℱ, all zeros of ƒ have multiplicity at least k, ƒ(z) = a ⇔ D(ƒ) = b, and D(ƒ) = 0 ⇒ ƒ(z) = c, where D(ƒ) is the differential polynomial of ƒ(z), then ℱ is normal in D.
Received: 2008-10-06
Revised: 2008-11-16
Published Online: 2011-05-02
Published in Print: 2011-June
© de Gruyter 2011
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