On a nonnegativity conjecture of Andrews

TL;DR

This paper proves a conjecture by Andrews concerning Alladi-Schur polynomials and explores related polynomial families, providing new relations and implications in the field of algebraic combinatorics.

Contribution

The paper confirms Andrews' nonnegativity conjecture and introduces new relations among polynomial families related to Alladi-Schur polynomials.

Findings

Confirmed Andrews' nonnegativity conjecture.

Derived new relations among related polynomial families.

Explored implications for algebraic combinatorics.

Abstract

I settle a conjecture of Andrews related to the Alladi-Schur polynomials. In addition, I give further relations and implications to two families of polynomials related to the Alladi-Schur polynomials.