Normal Families of Zero‐Free Meromorphic Functions

Yuntong Li

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Let a(≠0), b ∈ ℂ, and n and k be two positive integers such that n ≥ 2. Let ℱ be a family of zero‐free meromorphic functions defined in a domain 𝒟 such that for each f ∈ ℱ, f+a(f(k)) n−b has at most nk zeros, ignoring multiplicity. Then ℱ is normal in 𝒟.

Date: 2012
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