A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

Abstract

An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, as applications, twelve multiple q-identities of Rogers-Ramanujan type.

arXiv comment21 pages

Cited by in corpus (2)

• Minor summation formula and a proof of Stanley's open problem
• Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities