On the complex zeros of some families of orthogonal polynomials.
Petropoulou, Eugenia N. (2010)
Abstract and Applied Analysis
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Petropoulou, Eugenia N. (2010)
Abstract and Applied Analysis
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Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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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.
Milovanović, Gradimir V. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Simic, Slavko (2006)
Journal of Inequalities and Applications [electronic only]
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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...
Arscott, Felix M.
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A. M. Chak (1970)
Matematički Vesnik
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A. M. Chak (1970)
Matematički Vesnik
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Al-Salam, Waleed A. (1995)
International Journal of Mathematics and Mathematical Sciences
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