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Article: Imprimitive parametrization of analytic curves and factorizations of entire functions
Title | Imprimitive parametrization of analytic curves and factorizations of entire functions |
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Authors | |
Issue Date | 2001 |
Publisher | Oxford University Press. |
Citation | Journal Of The London Mathematical Society, 2001, v. 64 n. 2, p. 385-394 How to Cite? |
Abstract | Let f(z) and g(z) be transcendental entire functions. Fuchs and Song proved that if (f(z), g(z)) parametrizes some complex algebraic curve, then f and g must have a transcendental common right factor. The paper proves this result by a different method that also allows a similar result to be proved for some transcendental curves. This result is then used to solve some factorization problems of entire functions. © 2001 London Mathematical Society. |
Persistent Identifier | http://hdl.handle.net/10722/75222 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.383 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ng, TW | en_HK |
dc.date.accessioned | 2010-09-06T07:09:06Z | - |
dc.date.available | 2010-09-06T07:09:06Z | - |
dc.date.issued | 2001 | en_HK |
dc.identifier.citation | Journal Of The London Mathematical Society, 2001, v. 64 n. 2, p. 385-394 | en_HK |
dc.identifier.issn | 0024-6107 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75222 | - |
dc.description.abstract | Let f(z) and g(z) be transcendental entire functions. Fuchs and Song proved that if (f(z), g(z)) parametrizes some complex algebraic curve, then f and g must have a transcendental common right factor. The paper proves this result by a different method that also allows a similar result to be proved for some transcendental curves. This result is then used to solve some factorization problems of entire functions. © 2001 London Mathematical Society. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Oxford University Press. | en_HK |
dc.relation.ispartof | Journal of the London Mathematical Society | en_HK |
dc.rights | Journal of London Mathematical Society. Copyright © Oxford University Press. | en_HK |
dc.title | Imprimitive parametrization of analytic curves and factorizations of entire functions | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0024-6107&volume=64&issue=2&spage=1&epage=10&date=2001&atitle=Imprimitive+parametrization+of+analytic+curves+and+factorizations+of+entire+functions | en_HK |
dc.identifier.email | Ng, TW:ntw@maths.hku.hk | en_HK |
dc.identifier.authority | Ng, TW=rp00768 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1112/S0024610701002472 | - |
dc.identifier.scopus | eid_2-s2.0-1842699230 | en_HK |
dc.identifier.hkuros | 66771 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-1842699230&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 64 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 385 | en_HK |
dc.identifier.epage | 394 | en_HK |
dc.identifier.isi | WOS:000172088700011 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Ng, TW=7402229732 | en_HK |
dc.identifier.issnl | 0024-6107 | - |