Estamos realizando la búsqueda. Por favor, espere...
1583
37
170
29013
4402
2599
347
386
Abstract: Motivated by previous work on the simplification of parametrizations of curves, in this paper we generalize the well-known notion of analytic polynomial (a bivariate polynomial P(x, y), with complex coefficients, which arises by substituting z ? x + iy on a univariate polynomial p(z)?C[z], i.e. p(z) ? p(x + iy) = P(x, y)) to other finite field extensions, beyond the classical case of R?C. In this general setting we obtain different properties on the factorization, gcd's and resultants of analytic polynomials, which seem to be new even in the context of Complex Analysis. Moreover, we extend the well-known Cauchy-Riemann conditions (for harmonic conjugates) to this algebraic framework, proving that the new conditions also characterize the components of generalized analytic polynomials. © 2013 IMACS.
Fuente: Mathematics and Computers in Simulation 104 (2014) 43–57
Editorial: Elsevier
Año de publicación: 2014
Nº de páginas: 15
Tipo de publicación: Artículo de Revista
DOI: 10.1016/j.matcom.2013.03.013
ISSN: 0378-4754,1872-7166
Proyecto español: MTM2011-25816-C02-02
Url de la publicación: http://www.sciencedirect.com/science/article/pii/S0378475413001407
Leer publicación
TOMAS JESUS RECIO MUÑIZ
SENDRA, J.R.
LUIS FELIPE TABERA ALONSO
VILLARINO, C.
Volver