Results 231 to 240 of about 5,044 (263)

Symmetric polynomials on

European Journal of Mathematics, 2018
We describe an algebraic basis of the algebra of symmetric continuous polynomials on the nth Cartesian power of the complex Banach space , where $$1\leqslant p
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Symmetric Polynomials and Symmetric Functions

1995
In Chapter 17 of [371] we have studied symmetric polynomials called zonal polynomials. In this chapter we consider other types of symmetric polynomials as well as their generalizations called symmetric functions (symmetric “polynomials” of an infinite number of indeterminates).
N. Ja. Vilenkin, A. U. Klimyk
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A POLYNOMIAL WITH COEFFICIENTS IN CERTAIN ELEMENTARY SYMMETRIC POLYNOMIALS

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: Let \(\overline{M}_n\) be the configuration space of equilateral planar \(n\)-gons modulo isometry group. For odd \(n\), the mod 2 cohomology ring \(H^\ast(\overline{M}_n;\mathbb{Z}_2)\) has the form \[ H^\ast(\overline{M}_n;\mathbb{Z}_2)=\mathbb{Z}_2[R,V_1,\ldots,V_{n-1}]/\mathcal{J}, \] where the ideal \(\mathcal{J}\) is generated by three ...
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Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations

Journal of Symbolic Computation, 2021
Cordian Riener, Hugues Verdure, Philippe Moustrou   +2 more
exaly  

Fast Rewriting of Symmetric Polynomials

2010
This note presents a fast version of the classical algorithm to represent any symmetric function in a unique way as a polynomial in the elementary symmetric polynomials by using power sums of variables. We analyze the worst case complexity for both algorithms, the original and the fast version, and confirm our results by empirical run-time experiments.
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Symmetrization of Suffridge polynomials and approximation of T-symmetric Koebe functions

Journal of Mathematical Analysis and Applications, 2021
Mihai Tohaneanu, Dmitriy Dmitrishin, Alex Stokolos   +2 more
exaly  

Symmetric polynomials, the monomial symmetric polynomials, and symmetric functions

2019
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A basic class of symmetric orthogonal polynomials using the extended Sturm–Liouville theorem for symmetric functions

Journal of Mathematical Analysis and Applications, 2007
Mohammad Masjed-Jamei
exaly  

Characterization of the Dunkl-classical symmetric orthogonal polynomials

Applied Mathematics and Computation, 2007
Y Ben Cheikh
exaly  

The Yang-Baxter equation, symmetric functions, and Schubert polynomials

Discrete Mathematics, 1996
Sergey Fomin
exaly