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Article: On the zeros of ∑ aiexpgi
Title | On the zeros of ∑ aiexpgi |
---|---|
Authors | |
Keywords | Borel Theorem Entire Function Nevanlinna Theory Upper Half-Plane Zero Set |
Issue Date | 1997 |
Citation | Proceedings Of The Japan Academy Series A: Mathematical Sciences, 1997, v. 73 n. 7, p. 137-139 How to Cite? |
Abstract | We consider entire functions of the form f = ∑ aiegi, where ai(≢ 0), gi are entire functions and the orders of all ai are less than one. If all the zeros of f are real, then f = eg ∑aiehi, where hi, are linear functions. Using this result, we can prove that f = a1eg if all zeros of f are positive, which also generalizes a result obtained by A. Eremenko and L. A. Rubel. |
Persistent Identifier | http://hdl.handle.net/10722/156196 |
ISSN | 2023 Impact Factor: 0.4 2023 SCImago Journal Rankings: 0.300 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ng, TW | en_US |
dc.contributor.author | Yang, CC | en_US |
dc.date.accessioned | 2012-08-08T08:40:48Z | - |
dc.date.available | 2012-08-08T08:40:48Z | - |
dc.date.issued | 1997 | en_US |
dc.identifier.citation | Proceedings Of The Japan Academy Series A: Mathematical Sciences, 1997, v. 73 n. 7, p. 137-139 | en_US |
dc.identifier.issn | 0386-2194 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156196 | - |
dc.description.abstract | We consider entire functions of the form f = ∑ aiegi, where ai(≢ 0), gi are entire functions and the orders of all ai are less than one. If all the zeros of f are real, then f = eg ∑aiehi, where hi, are linear functions. Using this result, we can prove that f = a1eg if all zeros of f are positive, which also generalizes a result obtained by A. Eremenko and L. A. Rubel. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Proceedings of the Japan Academy Series A: Mathematical Sciences | en_US |
dc.subject | Borel Theorem | en_US |
dc.subject | Entire Function | en_US |
dc.subject | Nevanlinna Theory | en_US |
dc.subject | Upper Half-Plane | en_US |
dc.subject | Zero Set | en_US |
dc.title | On the zeros of ∑ aiexpgi | en_US |
dc.type | Article | en_US |
dc.identifier.email | Ng, TW:ntw@maths.hku.hk | en_US |
dc.identifier.authority | Ng, TW=rp00768 | en_US |
dc.description.nature | link_to_OA_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-35248895439 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-35248895439&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 73 | en_US |
dc.identifier.issue | 7 | en_US |
dc.identifier.spage | 137 | en_US |
dc.identifier.epage | 139 | en_US |
dc.identifier.isi | WOS:A1997YD40000005 | - |
dc.identifier.scopusauthorid | Ng, TW=7402229732 | en_US |
dc.identifier.scopusauthorid | Yang, CC=7407739661 | en_US |
dc.identifier.issnl | 0386-2194 | - |