AbstractThe Jack symmetric function Jλ(x;α) is a symmetric function with interesting properties that Jλ(x;2) is a spherical function of the symmetric pair (GL(n,R), O(n,R) and that Jλ(x;1) is the Schur function Sλ(x). Many interesting conjectures about the combinatorial properties of Jλ(x;α) are given by Stanley (1989). In this paper we give an affirmative answer to one of his conjectures
The understanding of the space of symmetric functions is gained through the study of its bases. Cert...
In this paper, we study shifted Schur functions $\mathit{S}^{*}_{\mu}$, as well as a new family of s...
We give a proof of the Stanley-Stembridge conjecture on chromatic symmetric functions for the class ...
AbstractThe Jack symmetric function Jλ(x;α) is a symmetric function with interesting properties that...
This article is devoted to the computation of Jack connection coeffi-cients, a generalization of the...
We develop the general theory of Jack–Laurent symmetric functions, which are certain generalizations...
Abstract. We develop the general theory of Jack-Laurent symmetric functions, which are certain gener...
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a coup...
Motivated by Stanley’s conjecture on the multiplication of Jack symmetric func-tions, we prove a cou...
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a coup...
AbstractK. Aomoto has recently given a simple proof of an extension of A. Selberg's integral. We pro...
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hyperma...
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hyperma...
Jack polynomials generalize several classical families of symmetric polynomials, including Schur pol...
This article is devoted to the study of Jack connection coefficients, a generalization of the connec...
The understanding of the space of symmetric functions is gained through the study of its bases. Cert...
In this paper, we study shifted Schur functions $\mathit{S}^{*}_{\mu}$, as well as a new family of s...
We give a proof of the Stanley-Stembridge conjecture on chromatic symmetric functions for the class ...
AbstractThe Jack symmetric function Jλ(x;α) is a symmetric function with interesting properties that...
This article is devoted to the computation of Jack connection coeffi-cients, a generalization of the...
We develop the general theory of Jack–Laurent symmetric functions, which are certain generalizations...
Abstract. We develop the general theory of Jack-Laurent symmetric functions, which are certain gener...
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a coup...
Motivated by Stanley’s conjecture on the multiplication of Jack symmetric func-tions, we prove a cou...
Motivated by Stanley's conjecture on the multiplication of Jack symmetric functions, we prove a coup...
AbstractK. Aomoto has recently given a simple proof of an extension of A. Selberg's integral. We pro...
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hyperma...
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hyperma...
Jack polynomials generalize several classical families of symmetric polynomials, including Schur pol...
This article is devoted to the study of Jack connection coefficients, a generalization of the connec...
The understanding of the space of symmetric functions is gained through the study of its bases. Cert...
In this paper, we study shifted Schur functions $\mathit{S}^{*}_{\mu}$, as well as a new family of s...
We give a proof of the Stanley-Stembridge conjecture on chromatic symmetric functions for the class ...
DOI
Add to ORKG