On real zeros of random polynomials with hyperbolic elements.
Farahmand, K., Jahangiri, M. (1998)
International Journal of Mathematics and Mathematical Sciences
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Farahmand, K., Jahangiri, M. (1998)
International Journal of Mathematics and Mathematical Sciences
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Ezzaldine, Hayssam, Kostov, Vladimir Petrov (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs. Research partially supported...
Farahmand, K. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Zaporozhets, D.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Farahmand, K., Grigorash, A., McGuinness, B. (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Wilkins, J.Ernest jun. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Kostov, Vladimir (2005)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).
Farahmand, K., Sambandham, M. (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Rozovsky, L.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Farahmand, K. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Nezakati, A., Farahmand, K. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Farahmand, K., Sambandham, M. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
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Farahmand, K. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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