Results 11 to 20 of about 5,044 (263)
Newton polytope of good symmetric polynomials
Comptes Rendus. Mathématique, 2023 We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.
Nguyen, Duc-Khanh +3 more
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Algebraic basis of the algebra of block-symmetric polynomials on $\ell_1 \oplus \ell_{\infty}$
Karpatsʹkì Matematičnì Publìkacìï, 2019 We consider so called block-symmetric polynomials on sequence spaces $\ell_1\oplus \ell_{\infty}, \ell_1\oplus c, \ell_1\oplus c_0,$ that is, polynomials which are symmetric with respect to permutations of elements of the sequences.
V.V. Kravtsiv
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On the Complexity of Symmetric Polynomials.
ITCS, 2018 Peer ...
Markus Bläser, Gorav Jindal
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BCn-symmetric polynomials [PDF]
Transformation Groups, 2005 65 pages, LaTeX. v2-3: Minor corrections and additions (including teasers for the sequel). v4: C^+ notation changed to harmonize with the sequels (and more teasers added)
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Mathematics, 2020 In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Yong Zhang, Zhi-Wei Sun, Hao Pan
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Homogeneous Formulas and Symmetric Polynomials [PDF]
computational complexity, 2011 We investigate the arithmetic formula complexity of the elementary symmetric polynomials S(k,n). We show that every multilinear homogeneous formula computing S(k,n) has size at least k^(Omega(log k))n, and that product-depth d multilinear homogeneous formulas for S(k,n) have size at least 2^(Omega(k^{1/d}))n.
Pavel Hrubes, Amir Yehudayoff
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Symmetrized Chebyshev polynomials [PDF]
Proceedings of the American Mathematical Society, 2004 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that
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Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2016 We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetric polynomials.
T.V. Vasylyshyn
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
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