Results 11 to 20 of about 2,742 (258)

Jack-Laurent symmetric functions [PDF]

open access: yes, 2015
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
core   +6 more sources

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
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
core   +5 more sources

SYMMETRIC AND GENERATING FUNCTIONS [PDF]

open access: yesInternational Electronic Journal of Pure and Applied Mathematics, 2014
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
openaire   +1 more source

On an Inequality of Diananda, III [PDF]

open access: yes, 2006
We extend the results in part I, II on certain inequalities involving the generalized power ...
Gao, Peng
core   +6 more sources

Generating functions and companion symmetric linear functionals [PDF]

open access: yesPeriodica Mathematica Hungarica, 2003
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
openaire   +4 more sources

Symmetric Functions Capture General Functions [PDF]

open access: yes, 2011
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
openaire   +1 more source

Hochschild cohomology of symmetric groups and generating functions, II

open access: yesResearch in the Mathematical Sciences, 2023
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
openaire   +6 more sources

A generic construction of rotation symmetric bent functions

open access: yesAdvances in Mathematics of Communications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junchao Zhou   +3 more
openaire   +4 more sources

A Quasisymmetric Function Generalization of the Chromatic Symmetric Function [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2011
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.
openaire   +3 more sources

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