On Infinite Area for Complex Exponential Function
| dc.contributor.author | Çilingir, F | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:09:44Z | |
| dc.date.available | 2024-07-05T15:09:44Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | This paper shows via a reduced family of examples, the relaxed Newton's method is applied to complex exponential function F(z) = ze(z) and F(z) = ze(z2) the basin of roots has infinite area. In addition, we examined their computer pictures which are fractals for the relaxed Newton's basin. In fact, computer experiments F(z) = P(z)(ez) and F(z) = P(z)e(z2), indicate this to hold for arbitrary non-constant polynomial P(z). (C) 2004 Published by Elsevier Ltd. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2004.04.031 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-2942694366 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2004.04.031 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1230 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | On Infinite Area for Complex Exponential Function | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Çilingir, Figen | |
| gdc.author.scopusid | 55959076000 | |
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| gdc.coar.access | metadata only access | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | ATILIM Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 1198 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1189 | en_US |
| gdc.description.volume | 22 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2049886235 | |
| gdc.identifier.wos | WOS:000223524400020 | |
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| gdc.oaire.keywords | Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable | |
| gdc.oaire.keywords | relaxed Newton's method | |
| gdc.oaire.popularity | 1.2837786E-9 | |
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| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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