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

2013/02/27 by Xin, Guoce, Zhou, Yue
#05A30 #33D70 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.6642

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.

Related

• The AFLT q-Morris constant term identity
• A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities
• A q-Morris constant term identity for the Lie algebra A_n and its symmetric function generalizations
• A Family of q-Dyson Style Constant Term Identities
• A recursion for a symmetric function generalization of the q-Dyson constant term identity