On Rolle's theorem for polynomials over the complex numbers.
Gallardo, Luis H. (2006)
Applied Mathematics E-Notes [electronic only]
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Displaying similar documents to “Further determinant identities related to classical root systems”
On Rolle's theorem for polynomials over the complex numbers.
Root separation for reducible integer polynomials
Yann Bugeaud, Andrej Dujella (2014)
Acta Arithmetica
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We construct parametric families of (monic) reducible polynomials having two roots very close to each other.
Some relations on Humbert matrix polynomials
Ayman Shehata (2016)
Mathematica Bohemica
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The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix...
A note on Fibonacci-type polynomials.
Amdeberhan, Tewodros (2010)
Integers
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The *-transpose of a matrix
Wiegmann, N.A. (1959)
Portugaliae mathematica
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Some observations on Khovanskii's matrix methods for extracting roots of polynomials.
Mc Laughlin, J., Sury, B. (2007)
Integers
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Symmetric CNS trinomials.
Brunotte, Horst (2009)
Integers
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Proof of the refined alternating sign matrix conjecture.
Zeilberger, Doron (1996)
The New York Journal of Mathematics [electronic only]
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Irrationality of the roots of the Yablonskii-Vorob'ev polynomials and relations between them.
Roffelsen, Pieter (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Central A-polynomials for the Grassmann Algebra
Pereira Brandão Jr., Antônio, José Gonçalves, Dimas (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 16R10, 16R40, 16R50. Let F be an algebraically closed field of characteristic 0, and let G be the infinite dimensional Grassmann (or exterior) algebra over F. In 2003 A. Henke and A. Regev started the study of the A-identities. They described the A-codimensions of G and conjectured a finite generating set of the A-identities for G. In 2008 D. Gonçalves and P. Koshlukov answered in the affirmative their conjecture. In this paper we...
Determinantal expression and recursion for Jack polynomials.
Lapointe, Luc, Lascoux, A., Morse, J. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Determinants of matrices related to the Pascal triangle
Roland Bacher (2002)
Journal de théorie des nombres de Bordeaux
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The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Some parallel procedures for computing the eigenvalues of a real symmetric matrix.
Dziţac, Ioan, Dziţac, Simona, Oros, Horea (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Generalized Cauchy determinants.
Richardson, Thomas M. (2008)
Integers
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