Normality and quasinormality of zero-free meromorphic functions.
In: Acta Mathematica Sinica, Jg. 28 (2012-04-01), Heft 4, S. 707-716
Online
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Zugriff:
Let k, K ∈ ℕ and F be a family of zero-free meromorphic functions in a domain D such that for each f ∈ F, f − 1 has at most K zeros, ignoring multiplicity. Then F is quasinormal of order at most $\nu = \left[ {\tfrac{K} {{k + 1}}} \right] $ , where ν is equal to the largest integer not exceeding $\tfrac{K} {{k + 1}} $. In particular, if K = k, then F is normal. The results are sharp. [ABSTRACT FROM AUTHOR]
Titel: |
Normality and quasinormality of zero-free meromorphic functions.
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Autor/in / Beteiligte Person: | Chang, Jian |
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Zeitschrift: | Acta Mathematica Sinica, Jg. 28 (2012-04-01), Heft 4, S. 707-716 |
Veröffentlichung: | 2012 |
Medientyp: | academicJournal |
ISSN: | 1439-8516 (print) |
DOI: | 10.1007/s10114-011-0297-z |
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