Lattice paths and multiple basic hypergeometric series

A. K. Agarwal and David Bressoud

Vol. 136 (1989), No. 2, 209–228

DOI: 10.2140/pjm.1989.136.209

Abstract

Certain basic hypergeometric series with multiple indices of summation are interpreted as generating functions for weighted lattice paths. The approach uses ideas of William Burge and gives rise to identities analogous to the Rogers-Ramanujan identities.

Mathematical Subject Classification 2000

Primary: 05A19

Secondary: 05A15, 05A30, 33A35

Milestones

Received: 9 February 1987

Revised: 4 March 1988

Published: 1 February 1989