On multiple zeros of Bernoulli polynomials
Karl Dilcher (2008)
Acta Arithmetica
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Karl Dilcher (2008)
Acta Arithmetica
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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.
P. E. Blanksby (1985)
Banach Center Publications
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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...
Simic, Slavko (2006)
Journal of Inequalities and Applications [electronic only]
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Petropoulou, Eugenia N. (2010)
Abstract and Applied Analysis
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F. Leon Pritchard (1986/87)
Manuscripta mathematica
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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.
Ryoo, C.S., Kim, T., Jang, Lee-Chae (2007)
Journal of Inequalities and Applications [electronic only]
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Borwein, Peter, Mossinghoff, Michael J. (2000)
Experimental Mathematics
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Alain Lascoux (1990)
Banach Center Publications
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M. A. Qazi (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
Gradimir V. Milovanović, Miodrag M. Spalević (2001)
Kragujevac Journal of Mathematics
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Açıkgöz, Mehmet, Erdal, Dilek, Aracı, Serkan (2010)
Advances in Difference Equations [electronic only]
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Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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