On some properties of polynomial functions
R. Ger (1971)
Annales Polonici Mathematici
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R. Ger (1971)
Annales Polonici Mathematici
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Jason Lucier (2006)
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Luís R. A. Finotti (2009)
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J. Siciak (1971)
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Umberto Zannier (2007)
Acta Arithmetica
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Norbert Hegyvári, François Hennecart (2009)
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A. Płoski (1985)
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Shih Ping Tung (2006)
Acta Arithmetica
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Ewa Ligocka (2006)
Annales Polonici Mathematici
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We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.
A. Schinzel (2008)
Acta Arithmetica
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James P. Jones (1988)
Banach Center Publications
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W. Głocki (1987)
Applicationes Mathematicae
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H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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R. V. Parker (1973)
Matematički Vesnik
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Umberto Zannier (2009)
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Mira Bhargava (1964)
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Hong Bing Yu (2001)
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Tomasz Rodak (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a description of the set of points for which the Fedoryuk condition fails in terms of the Łojasiewicz exponent at infinity near a fibre of a polynomial.