About the geometrical properties of the root condition for the third order polynomials
This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space.
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Format: | Article |
Language: | English |
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Vilnius University Press
1999-12-01
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Series: | Lietuvos Matematikos Rinkinys |
Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35689 |
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author | Artūras Štikonas |
author_facet | Artūras Štikonas |
author_sort | Artūras Štikonas |
collection | DOAJ |
description |
This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space.
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format | Article |
id | doaj-art-77a0584bc9bf4ef98b781be139a6cf56 |
institution | Kabale University |
issn | 0132-2818 2335-898X |
language | English |
publishDate | 1999-12-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Lietuvos Matematikos Rinkinys |
spelling | doaj-art-77a0584bc9bf4ef98b781be139a6cf562025-02-11T18:15:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMD.1999.35689About the geometrical properties of the root condition for the third order polynomialsArtūras Štikonas0Institute of Mathematics and Informatics This paper deals with a root condition for polynomial of the second and third order. We prove the root criterion for such polynomial with complex coefficients and find regions for the root condition in the special coefficients' phase space. https://www.zurnalai.vu.lt/LMR/article/view/35689 |
spellingShingle | Artūras Štikonas About the geometrical properties of the root condition for the third order polynomials Lietuvos Matematikos Rinkinys |
title | About the geometrical properties of the root condition for the third order polynomials |
title_full | About the geometrical properties of the root condition for the third order polynomials |
title_fullStr | About the geometrical properties of the root condition for the third order polynomials |
title_full_unstemmed | About the geometrical properties of the root condition for the third order polynomials |
title_short | About the geometrical properties of the root condition for the third order polynomials |
title_sort | about the geometrical properties of the root condition for the third order polynomials |
url | https://www.zurnalai.vu.lt/LMR/article/view/35689 |
work_keys_str_mv | AT arturasstikonas aboutthegeometricalpropertiesoftherootconditionforthethirdorderpolynomials |