Limits of quotients of bivariate real analytic functions
Por:
Cadavid, C., Molina, S., Velez, J. D.
Publicada:
1 mar 2013
Resumen:
Necessary and sufficient conditions for the existence of limits of the form lim (x,y)?(a,b)f(x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an isolated zero at (a, b). The given criterion uses a constructive version of Hensel's Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals. A high level description of an algorithm for determining the existence of the limit as well as its computation is provided. © 2012 Elsevier B.V.
Filiaciones:
Cadavid, C.:
(Reprint Author), Univ EAFIT, Dept Ciencias Basicas, Bloque 38,Off 417,Carrera 49,7 Sur 50, Medellin, Colombia
Univ EAFIT, Dept Ciencias Basicas, Medellin, Colombia
Molina, S.:
Univ Cincinnati, Dept Math, Cincinnati, OH USA
Velez, J. D.:
Univ Nacl Colombia, Medellin, Colombia
Bronze
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