Normality of meromorphic functions whose derivatives have 1-points.
In: Archiv der Mathematik, Jg. 94 (2010-06-01), Heft 6, S. 555-564
academicJournal
Zugriff:
Let k be a positive integer and let $${\mathcal F}$$ be a family of functions meromorphic in a plane domain D, all of whose zeros have multiplicity at least k + 3. If there exists a subset E of D which has no accumulation points in D such that for each function $${f\in\mathcal F}$$, f ( k) ( z) − 1 has no zeros in $${D\setminus E}$$, then $${\mathcal F}$$ is normal. The number k + 3 is sharp. The proof uses complex dynamics. [ABSTRACT FROM AUTHOR]
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Titel: |
Normality of meromorphic functions whose derivatives have 1-points.
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Autor/in / Beteiligte Person: | Chang, Jianming |
Zeitschrift: | Archiv der Mathematik, Jg. 94 (2010-06-01), Heft 6, S. 555-564 |
Veröffentlichung: | 2010 |
Medientyp: | academicJournal |
ISSN: | 0003-889X (print) |
DOI: | 10.1007/s00013-010-0125-1 |
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