On Fail-Rolle polynomials with few roots.
Gallardo, Luis H. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Complete polynomial vector fields in a ball.”
On Fail-Rolle polynomials with few roots.
The degree of the inverse of a polynomial automorphism.
Brusadin, Sabrina, Gorni, Gianluca (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jung's type theorem for polynomial transformations of ℂ²
Sławomir Kołodziej (1991)
Annales Polonici Mathematici
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We prove that among counterexamples to the Jacobian Conjecture, if there are any, we can find one of lowest degree, the coordinates of which have the form + terms of degree < m+n.
The identity of three classes of polynomials.
Vernescu, Andrei (2005)
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Some properties of solutions to polynomial systems of differential equations.
Carothers, David C., Parker, G.Edgar, Sochacki, James S., Warne, Paul G. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stabilization of functions and its application.
Kudryavtsev, L.D. (1994)
Georgian Mathematical Journal
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The Diophantine equation f(x) = g(y)
Yuri Bilu, Robert Tichy (2000)
Acta Arithmetica
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Puiseux series solutions of ordinary polynomial differential equations: complexity study.
Ayad, Ali (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Wold decomposition of the Hardy space and Blaschke products similar to a contraction
M. Stessin (1999)
Colloquium Mathematicae
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The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.
On the irreducibility of a class of polynomials, IV
K. Győry (1992)
Acta Arithmetica
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Growth at infinity of a polynomial with a compact zero set
Janusz Gwoździewicz (1998)
Banach Center Publications
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A geometric approach to the Jacobian Conjecture in ℂ²
Ludwik M. Drużkowski (1991)
Annales Polonici Mathematici
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We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set (resp. ), then (f,g) is bijective.