Author： Rawlings D.
Publisher： Academic Press
ISSN： 0196-8858
Source： Advances in Applied Mathematics, Vol.18, Iss.2, 1997-02, pp. : 133-148
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Abstract
Several extensions of Blomqvist's absorption process are presented. Inherent in some of the associated distributions is a method for establishing q -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 how q -expressions may be modeled with absorption processes.
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