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Absorption Processes: Models for q -Identities

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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.

Document Type: Research Article

Affiliations: Mathematics Department, California Polytechnic State University, San Luis Obispo, California, 93407, USA

Publication date: February 1, 1997

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