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I need references for




A similar, but trivial identity is


which follows directly from the q-binomial theorem. Given the rough similarity of the left-hand-sides of these identities, I also wonder if these are part of a larger class of identities.

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I just received good references from Johann Cigler: 1st identity: J Cigler, Séminaire Lotharingien de Combinatoire, B05a (1981), BA Kupershmidt, Journal of Nonlinear Mathematical Physics 7, 244–262 (2000) with references to papers by Fine and Andrews 2nd identity: special case of Cauchy identity, WP Johnson, AM Monthly 111, 791‐800 (2004), with reference to Jacobi I still wonder whether these identities have a unified treatment or whether they are "singular". – Thomas Prellberg Dec 9 '12 at 15:59

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