Linear dependence of zeros of polynomials and construction of primitve elements.
Kurt Girstmair (1982)
Manuscripta mathematica
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Kurt Girstmair (1982)
Manuscripta mathematica
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P. E. Blanksby (1985)
Banach Center Publications
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F. Leon Pritchard (1984/85)
Manuscripta mathematica
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Seoung Cheon Ryoo (2016)
Open Mathematics
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In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Gradimir V. Milovanović, Miodrag M. Spalević (2001)
Kragujevac Journal of Mathematics
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Karl Dilcher (2008)
Acta Arithmetica
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Peter Borwein, Tamás Erdélyi (2007)
Acta Arithmetica
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K. Dewan, Sunil Hans (2008)
Annales UMCS, Mathematica
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If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.
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...
Alain Lascoux (1990)
Banach Center Publications
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Petropoulou, Eugenia N. (2010)
Abstract and Applied Analysis
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J. L. Walsh (1952)
Publications de l'Institut Mathématique
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Radoš Bakić (2013)
Publications de l'Institut Mathématique
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J.H. WILKINSON (1959)
Numerische Mathematik
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J.H. WILKINSON (1959)
Numerische Mathematik
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