A Laurent series proof of the Habsieger-Kadell $q$-Morris Identity

TL;DR

This paper presents a Laurent series proof of the Habsieger-Kadell q-Morris identity, a generalization of known identities, enabling extensions to additional parameter cases.

Contribution

The paper introduces a Laurent series proof technique for the Habsieger-Kadell q-Morris identity, broadening its applicability beyond previous limitations.

Findings

Proof method extends the identity to new parameter ranges

Provides a unified approach to related identities

Enhances understanding of q-Morris and Aomoto identities

Abstract

We give a Laurent series proof of the Habsieger-Kadell $q$-Morris identity, which is a common generalization of the $q$-Morris identity and the Aomoto constant term identity. The proof allows us to extend the theorem for some additional parameter cases.