Postprint version. Published in Advances in Applied Mathematics, Volume 18, Issue 2, February 1, 1997, pages 133-148.
The definitive version is available at https://doi.org/10.1006/aama.1996.0504.
Several extensions of Blomqvist's absorption process are presented. Inherent in some of the associated distributions is a method for establishingq-identities ranging from properties of Gaussian polynomials to product expansions of basic hypergeometric series to extensions of results on Mahonian statistics. One process links the comajor index to Russian roulette. Also given are examples involving the Rogers–Ramanujan identities that demonstrate howq-expressions may be modeled with absorption processes.
1997 Academic Press, Inc.