Particle seas and basic hypergeometric series

Particle seas were introduced by Claude Itzykson to give a direct combinatorial proof of the Jacobi triple product [Viennot, Empilements, 1999]. We show here how generalized particle seas can be employed to give bijective proofs of several identities in the theory of basic hypergeometric series. We give details for the (1)psi(1) summation and two limiting cases of the (6)psi(5) summation. (C) 2003 Elsevier Inc. All rights reserved.