Linearizability of a polynomial system
Diana Doličanin, Valery G. Romanovski (2005)
Kragujevac Journal of Mathematics
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Diana Doličanin, Valery G. Romanovski (2005)
Kragujevac Journal of Mathematics
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Somjate Chaiya, Aimo Hinkkanen (2013)
Annales UMCS, Mathematica
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Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.
Brunotte, Horst (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Diego Vaggione (1997)
Colloquium Mathematicae
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T. Krasiński (1991)
Annales Polonici Mathematici
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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
Topuridze, N. (2003)
Georgian Mathematical Journal
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Haas, Bertrand (2002)
Beiträge zur Algebra und Geometrie
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Maki Furukado, Shunji Ito (2009)
Actes des rencontres du CIRM
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Morse, Jennifer (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
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Dimitrov, Dimitar K., Merlo, Clinton A. (1998)
Revista Colombiana de Matemáticas
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Boris A. Shminke (2012)
Formalized Mathematics
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The goal of this article is to formalize Ceva’s theorem that is in the [8] on the web. Alongside with it formalizations of Routh’s, Menelaus’ and generalized form of Ceva’s theorem itself are provided.
J. Chądzyński, T. Krasiński (1995)
Annales Polonici Mathematici
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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.