Reducibility of lacunary polynomials II
Andrzej Schinzel (1970)
Acta Arithmetica
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Andrzej Schinzel (1970)
Acta Arithmetica
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D. Markovitch (1951)
Matematički Vesnik
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Andrzej Schinzel (1995)
Banach Center Publications
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L. Hajdu, R. Tijdeman (2003)
Acta Arithmetica
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Artur Korniłowicz (2017)
Formalized Mathematics
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In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
P. N. Shrivastava (1977)
Publications de l'Institut Mathématique
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Arun Verma (1975)
Annales Polonici Mathematici
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Sendov, Blagovest, Sendov, Hristo (2013)
Mathematica Balkanica New Series
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MSC 2010: 30C10 The classical notion of apolarity is defined for two algebraic polynomials of equal degree. The main property of two apolar polynomials p and q is the classical Grace theorem: Every circular domain containing all zeros of p contains at least one zero of q and vice versa. In this paper, the definition of apolarity is extended to polynomials of different degree and an extension of the Grace theorem is proved. This leads to simplification of the conditions of...
Borwein, Peter, Mossinghoff, Michael J. (2000)
Experimental Mathematics
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