Results 11 to 20 of about 2,742 (258)
On Some Inequalities of Symmetric Means and Mixed Means [PDF]
We improve some inequalities involving the symmetric means.
Gao, Peng
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Jack-Laurent symmetric functions [PDF]
We develop the general theory of Jack–Laurent symmetric functions, which are certain generalizations of the Jack symmetric functions, depending on an additional parameter ...
A.N. Sergeev (7160591) +1 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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SYMMETRIC AND GENERATING FUNCTIONS [PDF]
In this paper, we calculate the generating functions by using the con- cepts of symmetric functions. Although the methods cited in previous works are in principle constructive, we are concerned here only with the question of manipulating combinatorial objects, known as symmetric op- erators.
Ali Boussayoud, Mohamed Kerada
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On an Inequality of Diananda, III [PDF]
We extend the results in part I, II on certain inequalities involving the generalized power ...
Gao, Peng
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Generating functions and companion symmetric linear functionals [PDF]
In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that $$u\left({x^{2n+1}}\right)=0$$.
Esther M. García-Caballero +2 more
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Symmetric Functions Capture General Functions [PDF]
We show that the set of all functions is equivalent to the set of all symmetric functions (possibly over a larger domain) up to deterministic time complexity. In particular, for any function f, there is an equivalent symmetric function fsym such that f can be computed from fsym and vice-versa (modulo an extra deterministic linear time computation). For
Richard J. Lipton +2 more
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Hochschild cohomology of symmetric groups and generating functions, II
AbstractWe relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of the symmetric groups. We show that the first Hochschild cohomology of a positive defect block of a symmetric group is nonzero, answering in the affirmative a question of the third author.
David Benson +2 more
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A generic construction of rotation symmetric bent functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junchao Zhou +3 more
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A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]
The chromatic symmetric function $X_G$ of a graph $G$ was introduced by Stanley. In this paper we introduce a quasisymmetric generalization $X^k_G$ called the $k$-chromatic quasisymmetric function of $G$ and show that it is positive in the fundamental basis for the quasisymmetric functions.
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