Stretched skew Schur polynomials are recurrent

TL;DR

The paper proves that sequences of stretched skew Schur polynomials follow explicit linear recurrences, enabling analysis of their asymptotic behavior and proposing conjectures on minimal recurrences.

Contribution

It introduces explicit linear recurrences for stretched skew Schur polynomials and explores their asymptotic properties and minimal recurrence conjectures.

Findings

Sequences of stretched skew Schur polynomials satisfy explicit linear recurrences

Asymptotic behaviors of these polynomials are characterized

Conjectures on minimal recurrences are proposed

Abstract

We show that sequences of skew Schur polynomials obtained from stretched semi-standard Young tableaux satisfy a linear recurrence, which we give explicitly. Using this, we apply this to finding certain asymptotic behavior of these Schur polynomials and present conjectures on minimal recurrences for stretched Schur polynomials.