17 q-Hypergeometric and Related Functions Applications 17.15 Generalizations 17.17 Physical Applications

§17.16 Mathematical Applications

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Keywords:: Lie algebras, applications, mathematical, $q$ -hypergeometric function, $q$ -series
Permalink:: http://dlmf.nist.gov/17.16
See also:: Annotations for Ch.17

Many special cases of $q$ -series arise in the theory of partitions, a topic treated in §§27.14(i) and 26.9. In Lie algebras Lepowsky and Milne (1978) and Lepowsky and Wilson (1982) laid foundations for extensive interaction with $q$ -series. These and other applications are described in the surveys Andrews (1974, 1986). More recent applications are given in Gasper and Rahman (2004, Chapter 8) and Fine (1988, Chapters 1 and 2).

17.15 Generalizations 17.17 Physical Applications

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