On maximum modulus points and zero sets of entire functions of regular growth
| dc.citation.epage | 618 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 583 | en_US |
| dc.citation.volumeNumber | 38 | en_US |
| dc.contributor.author | Ostrovskii I. | en_US |
| dc.contributor.author | Üreyen, A.E. | en_US |
| dc.date.accessioned | 2016-02-08T10:09:14Z | |
| dc.date.available | 2016-02-08T10:09:14Z | |
| dc.date.issued | 2008 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.department | Department of Electrical and Electronics Engineering | en_US |
| dc.description.abstract | Let f be an entire function. We denote by R(w, f) the distance between a maximum modulus point w and the zero set of f. In a previous paper, the authors obtained asymptotical lower bounds for R(w, f) as |w| → ∞ for functions of finite positive order and regular growth. In this work we extend those results to functions of either zero or infinite order and show that our results are sharp in sense of order. Copyright © 2008 Rocky Mountain Mathematics Consortium. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:09:14Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2008 | en |
| dc.identifier.doi | 10.1216/RMJ-2008-38-2-583 | en_US |
| dc.identifier.issn | 0035-7596 | |
| dc.identifier.uri | http://hdl.handle.net/11693/23122 | |
| dc.language.iso | English | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1216/RMJ-2008-38-2-583 | en_US |
| dc.source.title | Rocky Mountain Journal of Mathematics | en_US |
| dc.subject | Entire function | en_US |
| dc.subject | Order | en_US |
| dc.subject | Proximate order | en_US |
| dc.subject | Regular growth | en_US |
| dc.subject | Zero set | en_US |
| dc.title | On maximum modulus points and zero sets of entire functions of regular growth | en_US |
| dc.type | Article | en_US |
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