On the Complex and Real Hessian Polynomials

We study some realization problems related to the Hessian polynomials. In particular, we solve the Hessian curve realization problem for degrees zero, one, two, and three and the Hessian polynomial realization problem for degrees zero, one, and two.

Bibliographic Details
Main Authors: Emigdio Martínez-Ojeda, Adriana Ortiz-Rodríguez
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/962719
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spelling doaj-785804e863644dd38380b89b13b261f62020-11-25T00:04:20ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/962719962719On the Complex and Real Hessian PolynomialsEmigdio Martínez-Ojeda0Adriana Ortiz-Rodríguez1Universidad Autónoma de la Ciudad de México (UACM), Calzada Ermita Iztapalapa 4163, Col. Lomas de Zaragoza C.P., Delegación Iztapalapa, 09620 México, DF, MexicoInstituto de Matemáticas (IMATE-D.F.), Universidad Nacional Autónoma de México (UNAM), Area de la Inv. Cient. Circuito Exterior, C.U., C.P, 04510 México, DF, MexicoWe study some realization problems related to the Hessian polynomials. In particular, we solve the Hessian curve realization problem for degrees zero, one, two, and three and the Hessian polynomial realization problem for degrees zero, one, and two.http://dx.doi.org/10.1155/2010/962719
collection DOAJ
language English
format Article
sources DOAJ
author Emigdio Martínez-Ojeda
Adriana Ortiz-Rodríguez
spellingShingle Emigdio Martínez-Ojeda
Adriana Ortiz-Rodríguez
On the Complex and Real Hessian Polynomials
International Journal of Mathematics and Mathematical Sciences
author_facet Emigdio Martínez-Ojeda
Adriana Ortiz-Rodríguez
author_sort Emigdio Martínez-Ojeda
title On the Complex and Real Hessian Polynomials
title_short On the Complex and Real Hessian Polynomials
title_full On the Complex and Real Hessian Polynomials
title_fullStr On the Complex and Real Hessian Polynomials
title_full_unstemmed On the Complex and Real Hessian Polynomials
title_sort on the complex and real hessian polynomials
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2010-01-01
description We study some realization problems related to the Hessian polynomials. In particular, we solve the Hessian curve realization problem for degrees zero, one, two, and three and the Hessian polynomial realization problem for degrees zero, one, and two.
url http://dx.doi.org/10.1155/2010/962719
work_keys_str_mv AT emigdiomartinezojeda onthecomplexandrealhessianpolynomials
AT adrianaortizrodriguez onthecomplexandrealhessianpolynomials
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