ESFpoly

an integer partition, given as a vector of decreasing
integers

lambda

Returns an elementary symmetric function as a polynomial.

Symbolic calculation and evaluation of the Jack polynomials, zonal polynomials, and Schur polynomials. Mainly based on Demmel & Koev's paper (2006) <doi:10.1090/S0025-5718-05-01780-1>. Zonal polynomials and Schur polynomials are particular cases of Jack polynomials. Zonal polynomials appear in random matrix theory. Schur polynomials appear in the field of combinatorics.

Stc3<a9>phane Laurent

jack

Jack, Zonal, and Schur Polynomials

ESFpoly function

<dl><dt>m</dt>
<dd>integer, the number of variables</dd>
<dt>lambda</dt>
<dd>an integer partition, given as a vector of decreasing
integers</dd></dl>

Arguments

Elementary symmetric function — ESFpoly

<dl>

<dt>m</dt>
<dd>integer, the number of variables</dd>


<dt>lambda</dt>
<dd>an integer partition, given as a vector of decreasing
integers</dd>

</dl>

ESFpoly: Elementary symmetric function

Description

Usage

Value

Arguments

Examples