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Change of base in Bailey pairs

David Bressoud·Mourad Ismail·Dennis Stanton
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Abstract

Versions of Bailey's lemma which change the base from q to q^2 or q^3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities. We also prove Melzer's conjectures for the Fermionic forms of the supersymmetric analogues of Virasoro characters.

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David Bressoud, Mourad Ismail, Dennis Stanton. 1999-09-09. Change of base in Bailey pairs. https://arxiv.org/abs/math/9909053

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