Normal Families of Zero-Free Meromorphic Functions

Yuntong Li

Abstract and Applied Analysis, 2012, vol. 2012, 1-12

Abstract:

Let ð ‘Ž ( ≠0 ) , ð ‘ âˆˆ â„‚ , and ð ‘› and 𠑘 be two positive integers such that ð ‘› ≥ 2 . Let ℱ be a family of zero-free meromorphic functions defined in a domain ð ’Ÿ such that for each ð ‘“ ∈ ℱ , ð ‘“ + ð ‘Ž ( ð ‘“ ( 𠑘 ) ) ð ‘› − ð ‘ has at most ð ‘› 𠑘 zeros, ignoring multiplicity. Then ℱ is normal in ð ’Ÿ .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:908123

DOI: 10.1155/2012/908123

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