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IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE

    https://doi.org/10.1142/S1793042107000912Cited by:14
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    Abstract

    It is shown that (two-variable generalizations of) more than half of Slater's list of 130 Rogers–Ramanujan identities (L. J. Slater, Further identities of the Rogers–Ramanujan type, Proc. London Math Soc. (2)54 (1952) 147–167) can be easily derived using just three multiparameter Bailey pairs and their associated q-difference equations. As a bonus, new Rogers–Ramanujan type identities are found along with natural combinatorial interpretations for many of these identities.

    AMSC: 11P81, 11B65, 05A19, 39A13

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