A Determinant Identity that Implies Rogers-Ramanujan

Abstract

We give a combinatorial proof of a general determinant identity for associated polynomials. This determinant identity, Theorem 2.2, gives rise to new polynomial generalizations of known Rogers-Ramanujan type identities. Several examples of new Rogers-Ramanujan type identities are given.

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@article{Garrett2005ADI, title={A Determinant Identity that Implies Rogers-Ramanujan}, author={Kristina C. Garrett}, journal={Electr. J. Comb.}, year={2005}, volume={12} }