Results 261 to 270 of about 9,360 (297)

On the representation of symmetric polynomials

Communications of the ACM, 1967
Relations are given between certain symmetric polynomials in the light of the theory of the symmetric group. Such an approach unifies earlier work and lends insight to previously published work by Aaron Booker. A generalization of Graeffe's root-squaring technique for the determination of the roots of a polynomial is suggested.
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Chromatic Polynomials and the Symmetric Group

Graphs and Combinatorics, 2004
The author gives a new combinatorial interpretation of the coefficients of chromatic polynomials of graphs in terms of subsets of permutations and introduces a combinatorially defined polynomial associated to a directed graph. He proves that it is related to the chromatic polynomials.
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Krawtchouk Polynomials and the Symmetrization of Hypergroups

SIAM Journal on Mathematical Analysis, 1974
This paper introduces the method of symmetrization of the measure algebra of a compact $P_ * $-hypergroup. This method is used to form a measure algebra whose characters are Krawtchouk polynomials (these are the finite sets of polynomials orthogonal with respect to the binomial distribution on $\{ 0,1, \cdots ,N\} $.
Dunkl, Charles F., Ramirez, Donald E.
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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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Birth Processes and Symmetric Polynomials

Annals of Combinatorics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bickel, Thomas, Galli, Nicola, Simon, Klaus   +2 more
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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
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
Dmitriy Dmitrishin, Mihai Tohaneanu
exaly