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Absorption Processes: Models forq-Identities

✍ Scribed by Don Rawlings

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
184 KB
Volume
18
Category
Article
ISSN
0196-8858

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✦ Synopsis

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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