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Meromorphic compositions and target functions
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Fletcher, Alastair and Langley, James K. (2009) Meromorphic compositions and target functions. Annales Academiae Scientiarum Fennicae. Mathematica, Vol.34 . pp. 615-636. ISSN 1239-629X.
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Official URL: http://www.acadsci.fi/mathematica/Vol34/FletcherLa...
Abstract
We prove a result on the frequency of zeros of f o g - Q, where g is a transcendental entire function of finite lower order, and f and Q are meromorphic functions in the plane such that f has finite order and the growth of the target function Q is controlled by that of g. The particular case f = Q is then investigated further.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annales Academiae Scientiarum Fennicae. Mathematica | ||||
Publisher: | Suomalainen Tiedeakatemia | ||||
ISSN: | 1239-629X | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.34 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 615-636 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | EPSRC | ||||
Grant number: | EP/D065321/1 |
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